Bounds on the minimum distance of additive quantum codes

Bounds on [[166,154]]₂

lower bound:	3
upper bound:	4
Construction

Construction of a [[166,154,3]] quantum code:
[1]:  [[341, 331, 3]] quantum code over GF(2^2)
     cyclic code of length 341 with generating polynomial w*x^340 + w^2*x^339 + x^338 + w*x^337 + w*x^336 + x^335 + x^334 + w^2*x^333 + w^2*x^332 + w^2*x^331 + x^329 + x^328 + x^327 + x^326 + w*x^325 + w*x^324 + w*x^323 + w*x^322 + w*x^321 + x^320 + w*x^318 + x^317 + x^315 + w*x^314 + x^313 + w^2*x^312 + x^311 + w^2*x^310 + w^2*x^309 + w^2*x^307 + w^2*x^305 + w*x^304 + w^2*x^303 + w*x^302 + w^2*x^301 + w*x^300 + x^299 + x^298 + w^2*x^296 + w^2*x^295 + x^293 + w*x^292 + w^2*x^290 + x^289 + w^2*x^288 + w^2*x^287 + x^286 + x^285 + w^2*x^284 + w*x^283 + x^281 + w^2*x^280 + w*x^279 + x^278 + w*x^277 + w*x^276 + w*x^274 + w*x^273 + x^272 + w*x^269 + x^268 + w^2*x^267 + x^266 + w*x^265 + x^264 + w^2*x^263 + w*x^262 + w*x^261 + x^260 + w^2*x^259 + w*x^258 + x^257 + x^255 + x^254 + x^252 + w*x^251 + w*x^250 + w*x^249 + w^2*x^248 + w*x^246 + x^245 + w^2*x^243 + x^242 + x^240 + w*x^239 + x^237 + w*x^236 + w*x^235 + x^234 + w*x^233 + w*x^232 + x^231 + x^229 + w*x^227 + w*x^226 + w^2*x^225 + w*x^222 + x^221 + x^220 + w*x^219 + w^2*x^218 + w^2*x^217 + x^215 + w^2*x^213 + w*x^212 + w^2*x^211 + w^2*x^208 + w^2*x^207 + w*x^206 + w^2*x^205 + x^204 + x^203 + x^202 + w^2*x^200 + x^198 + w^2*x^197 + x^196 + x^195 + w*x^194 + w*x^193 + x^191 + w^2*x^190 + w^2*x^189 + w^2*x^188 + x^187 + w^2*x^186 + w*x^185 + w^2*x^183 + w^2*x^181 + w^2*x^180 + x^179 + x^178 + w*x^177 + w^2*x^175 + x^173 + w^2*x^170 + x^169 + w^2*x^168 + x^167 + w*x^166 + x^164 + x^163 + w^2*x^162 + w^2*x^161 + x^160 + w^2*x^159 + w^2*x^157 + w*x^156 + w*x^155 + w^2*x^152 + w^2*x^151 + w^2*x^150 + x^149 + w*x^148 + w^2*x^146 + w*x^145 + w*x^144 + x^143 + w*x^142 + w*x^140 + x^139 + w^2*x^138 + w^2*x^137 + x^136 + x^134 + x^133 + x^132 + w^2*x^131 + x^130 + w^2*x^129 + x^127 + x^126 + w^2*x^125 + w*x^124 + w^2*x^123 + x^121 + x^120 + w^2*x^118 + x^117 + w^2*x^116 + w^2*x^113 + w^2*x^111 + x^110 + w*x^109 + w^2*x^106 + w*x^104 + w^2*x^103 + x^102 + x^101 + w*x^100 + x^99 + x^98 + w^2*x^97 + w*x^95 + w*x^94 + w*x^93 + w*x^90 + x^89 + w*x^85 + w*x^84 + w^2*x^83 + x^82 + w*x^81 + x^80 + w^2*x^78 + w*x^76 + w*x^75 + w^2*x^74 + w*x^73 + w^2*x^72 + w^2*x^71 + w^2*x^70 + w*x^69 + x^68 + x^67 + x^66 + x^65 + x^63 + w^2*x^62 + x^60 + w*x^59 + w*x^58 + x^55 + w*x^53 + w^2*x^52 + x^51 + w^2*x^50 + x^49 + w^2*x^47 + w^2*x^45 + w^2*x^42 + x^41 + x^40 + w*x^39 + w^2*x^38 + w*x^37 + w*x^36 + w*x^35 + x^34 + x^33 + w*x^31 + x^30 + w^2*x^29 + w*x^26 + w*x^25 + w*x^21 + x^20 + w*x^19 + w^2*x^18 + x^17 + x^15 + w^2*x^13 + x^10 + w*x^9 + x^5 + 1
[2]:  [[166, 156, 3]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 5, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 27, 30, 34, 36, 37, 39, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 61, 62, 63, 64, 65, 68, 69, 74, 75, 76, 80, 82, 83, 84, 86, 87, 91, 96, 97, 98, 99, 100, 101, 105, 106, 107, 109, 113, 114, 115, 116, 118, 121, 122, 124, 125, 126, 127, 128, 129, 132, 133, 137, 138, 139, 141, 142, 151, 157, 159, 160, 162, 163, 165, 166, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 190, 192, 198, 199, 203, 205, 208, 210, 211, 212, 213, 217, 218, 219, 220, 221, 224, 225, 228, 230, 231, 233, 236, 237, 238, 239, 240, 242, 245, 246, 247, 250, 252, 253, 255, 259, 260, 261, 263, 264, 265, 267, 268, 272, 281, 282, 283, 285, 288, 290, 291, 293, 294, 295, 296, 297, 298, 301, 303, 305, 306, 307, 309, 313, 316, 319, 320, 321, 325, 326, 327, 332, 339 }
[3]:  [[166, 154, 3]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1|1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1]
      [0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1|0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1|0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0|0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0]
      [0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0|0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0]
      [0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1|0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0|0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1]

last modified: 2009-02-08
Notes

All codes establishing the lower bounds where constructed using MAGMA.
Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
For n>100, the upper bounds on qubit codes are weak (and not necessarily monotone in k).
Some additional information can be found in the book by Nebe, Rains, and Sloane.
My apologies to all authors that have contributed codes to this table for not giving specific credits.
This page is maintained by Markus Grassl (codes@codetables.de). Last change: 10.06.2024
Bounds on the minimum distance of additive quantum codes

Bounds on [[166,154]]2

Construction

Notes

Bounds on [[166,154]]₂
