lower bound: | 65 |
upper bound: | 68 |
Construction of a linear code [150,13,65] over GF(2): [1]: [150, 13, 65] Quasicyclic of degree 10 Linear Code over GF(2) QuasiCyclicCode of length 150 stacked to height 2 with generating polynomials: x^14 + x^12 + x^8 + 1, x^14 + x^13 + x^12 + x^9 + x^8 + x^7 + x^6 + x^4 + x + 1, x^13 + x^11 + x^10 + x^6 + x^4 + x^2 + x + 1, x^14 + x^13 + x^10 + x^7 + x^6 + x^5 + x + 1, x^12 + x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2, x^13 + x^9 + x^7 + x^6 + x^4 + x, x^7 + x^6 + x^4 + 1, x^14 + x^12 + x^11 + x^10 + x^8 + x^7 + x^5 + x^4 + x + 1, x^11 + x^9 + x^8 + x^6 + x^3 + 1, x^14 + x^13 + x^12 + x^11 + x^9 + x^6 + x^5 + x^4 + x^3 + x^2, x^13 + x^12 + x^11 + x^9 + x^8 + x^5 + x^3, x^13 + x^8 + x^7 + x^6 + x^4 + x^3 + 1, x^14 + x^12 + x^10 + x^9 + x^8 + x^7 + x^3 + 1, x^12 + x^10 + x^5 + x^4 + x^3 + x + 1, x^14 + x^13 + x^12 + x^11 + x^7 + x^4 + x^3 + x, x^14 + x^13 + x^12 + x^8 + x^5 + x^4 + x^2 + 1, x^14 + x^11 + x^10 + x^8 + x^6 + x^5 + x^4 + x^3, x^13 + x^8 + x^7 + x^6 + x^4 + x^3 + 1, x^13 + x^12 + x^11 + x^10 + x^6 + x^3 + x^2 + 1, x^14 + x^13 + x^11 + x^10 + x^7 + x^5 + 1 last modified: 2009-01-13
Lb(150,13) = 64 is found by taking a subcode of: Lb(150,15) = 64 is found by lengthening of: Lb(147,15) = 64 is found by adding a parity check bit to: Lb(146,15) = 63 X Ub(150,13) = 68 is found by considering shortening to: Ub(149,12) = 68 Ja
X:
Notes
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