Information on Result #1302968
Linear OA(8156, 165, F8, 119) (dual of [165, 9, 120]-code), using construction X with Varšamov bound based on
- linear OA(8153, 161, F8, 119) (dual of [161, 8, 120]-code), using
- concatenation of two codes [i] based on
- linear OA(6419, 23, F64, 19) (dual of [23, 4, 20]-code or 23-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OA(6419, 23, F64, 19) (dual of [23, 4, 20]-code or 23-arc in PG(18,64)), using
- concatenation of two codes [i] based on
- linear OA(8153, 162, F8, 116) (dual of [162, 9, 117]-code), using Gilbert–Varšamov bound and bm = 8153 > Vbs−1(k−1) = 1 104561 791319 818135 638108 335671 817118 646637 138011 280655 095113 669375 158137 327837 187688 274092 141805 016202 626924 099567 974586 641366 507001 539296 [i]
- linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using
- dual of repetition code with length 3 [i]
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.