Information on Result #1301808
Linear OA(5125, 147, F5, 75) (dual of [147, 22, 76]-code), using construction X with Varšamov bound based on
- linear OA(5124, 145, F5, 75) (dual of [145, 21, 76]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(5122, 142, F5, 75) (dual of [142, 20, 76]-code), using
- 2 times truncation [i] based on linear OA(5124, 144, F5, 77) (dual of [144, 20, 78]-code), using
- concatenation of two codes [i] based on
- linear OA(2526, 36, F25, 25) (dual of [36, 10, 26]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- linear OA(2526, 36, F25, 25) (dual of [36, 10, 26]-code), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(5124, 144, F5, 77) (dual of [144, 20, 78]-code), using
- linear OA(5122, 143, F5, 73) (dual of [143, 21, 74]-code), using Gilbert–Varšamov bound and bm = 5122 > Vbs−1(k−1) = 10 944174 797098 383262 114791 597624 260969 037014 930379 869718 937159 376143 895595 002917 531625 [i]
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(5122, 142, F5, 75) (dual of [142, 20, 76]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(5124, 146, F5, 74) (dual of [146, 22, 75]-code), using Gilbert–Varšamov bound and bm = 5124 > Vbs−1(k−1) = 348 678603 423894 744352 431853 685731 172611 686740 482152 377025 253193 496490 135923 032690 582725 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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.