Information on Result #1321673
Linear OA(781, 103, F7, 51) (dual of [103, 22, 52]-code), using construction X with Varšamov bound based on
- linear OA(780, 101, F7, 51) (dual of [101, 21, 52]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(778, 98, F7, 51) (dual of [98, 20, 52]-code), using
- 2 times truncation [i] based on linear OA(780, 100, F7, 53) (dual of [100, 20, 54]-code), using
- a “GraQC†code from Grassl’s database [i]
- 2 times truncation [i] based on linear OA(780, 100, F7, 53) (dual of [100, 20, 54]-code), using
- linear OA(778, 99, F7, 49) (dual of [99, 21, 50]-code), using Gilbert–Varšamov bound and bm = 778 > Vbs−1(k−1) = 663994 588647 723202 009839 583479 128445 330119 979826 124659 477524 242737 [i]
- linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(778, 98, F7, 51) (dual of [98, 20, 52]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(780, 102, F7, 50) (dual of [102, 22, 51]-code), using Gilbert–Varšamov bound and bm = 780 > Vbs−1(k−1) = 30 557299 285909 506874 645068 401511 943298 059622 536649 646943 193041 123495 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.