Information on Result #1297477
Linear OA(2218, 272, F2, 72) (dual of [272, 54, 73]-code), using construction X with Varšamov bound based on
- linear OA(2209, 261, F2, 72) (dual of [261, 52, 73]-code), using
- 3 times truncation [i] based on linear OA(2212, 264, F2, 75) (dual of [264, 52, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(2212, 264, F2, 75) (dual of [264, 52, 76]-code), using
- linear OA(2209, 263, F2, 66) (dual of [263, 54, 67]-code), using Gilbert–Varšamov bound and bm = 2209 > Vbs−1(k−1) = 470 185838 675283 453603 428271 431053 081086 553146 469491 717758 625476 [i]
- linear OA(27, 9, F2, 5) (dual of [9, 2, 6]-code), using
- repeating each code word 3 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 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
- repeating each code word 3 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-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.