Information on Result #1321702
Linear OA(790, 108, F7, 59) (dual of [108, 18, 60]-code), using construction X with Varšamov bound based on
- linear OA(789, 106, F7, 59) (dual of [106, 17, 60]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(784, 99, F7, 59) (dual of [99, 15, 60]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(784, 101, F7, 55) (dual of [101, 17, 56]-code), using Gilbert–Varšamov bound and bm = 784 > Vbs−1(k−1) = 94990 075790 977038 031939 284236 231026 268103 205557 217102 177198 213068 102241 [i]
- linear OA(73, 5, F7, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- linear OA(784, 99, F7, 59) (dual of [99, 15, 60]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(789, 107, F7, 58) (dual of [107, 18, 59]-code), using Gilbert–Varšamov bound and bm = 789 > Vbs−1(k−1) = 1296 358243 132461 603473 501186 370589 707402 864325 290828 201086 163572 927659 039729 [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.