Information on Result #2295710
Linear OA(2211, 341, F2, 57) (dual of [341, 130, 58]-code), using adding a parity check bit based on linear OA(2210, 340, F2, 56) (dual of [340, 130, 57]-code), using
- 2 step Varšamov–Edel lengthening with (ri) = (3, 1) [i] based on linear OA(2206, 334, F2, 56) (dual of [334, 128, 57]-code), using
- 1 times truncation [i] based on linear OA(2207, 335, F2, 57) (dual of [335, 128, 58]-code), using
- concatenation of two codes [i] based on
- linear OA(1635, 67, F16, 28) (dual of [67, 32, 29]-code), using
- construction X applied to AG(F,35P) ⊂ AG(F,37P) [i] based on
- linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1632, 64, F16, 26) (dual of [64, 32, 27]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,35P) ⊂ AG(F,37P) [i] based on
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1635, 67, F16, 28) (dual of [67, 32, 29]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2207, 335, F2, 57) (dual of [335, 128, 58]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.