Information on Result #1302991
Linear OA(8159, 170, F8, 119) (dual of [170, 11, 120]-code), using construction X with Varšamov bound based on
- linear OA(8158, 168, F8, 119) (dual of [168, 10, 120]-code), using
- concatenation of two codes [i] based on
- linear OA(6423, 28, F64, 23) (dual of [28, 5, 24]-code or 28-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- linear OA(6423, 28, F64, 23) (dual of [28, 5, 24]-code or 28-arc in PG(22,64)), using
- concatenation of two codes [i] based on
- linear OA(8158, 169, F8, 118) (dual of [169, 11, 119]-code), using Gilbert–Varšamov bound and bm = 8158 > Vbs−1(k−1) = 45224 858083 375359 831711 716341 405163 522779 081482 541034 408945 947123 642022 981267 493390 018654 181566 599899 901106 992904 683983 809126 046857 240412 555032 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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.