Information on Result #1297647
Linear OA(2244, 392, F2, 64) (dual of [392, 148, 65]-code), using construction X with Varšamov bound based on
- linear OA(2238, 383, F2, 64) (dual of [383, 145, 65]-code), using
- 1 times truncation [i] based on linear OA(2239, 384, F2, 65) (dual of [384, 145, 66]-code), using
- concatenation of two codes [i] based on
- linear OA(3235, 64, F32, 32) (dual of [64, 29, 33]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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(3235, 64, F32, 32) (dual of [64, 29, 33]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2239, 384, F2, 65) (dual of [384, 145, 66]-code), using
- linear OA(2238, 386, F2, 61) (dual of [386, 148, 62]-code), using Gilbert–Varšamov bound and bm = 2238 > Vbs−1(k−1) = 153858 950194 333940 603637 446709 437080 456246 384235 456570 219184 128074 686154 [i]
- linear OA(23, 6, F2, 2) (dual of [6, 3, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(23, 7, F2, 2) (dual of [7, 4, 3]-code), using
- Hamming code H(3,2) [i]
- discarding factors / shortening the dual code based on linear OA(23, 7, F2, 2) (dual of [7, 4, 3]-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.