Information on Result #1792238
Digital (37, 63, 288)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(863, 288, F8, 26) (dual of [288, 225, 27]-code), using
- 26 step Varšamov–Edel lengthening with (ri) = (1, 7 times 0, 1, 17 times 0) [i] based on linear OA(861, 260, F8, 26) (dual of [260, 199, 27]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(860, 258, F8, 26) (dual of [258, 198, 27]-code), using
- trace code [i] based on linear OA(6430, 129, F64, 26) (dual of [129, 99, 27]-code), using
- extended algebraic-geometric code AGe(F,102P) [i] based on function field F/F64 with g(F) = 4 and N(F) ≥ 129, using
- trace code [i] based on linear OA(6430, 129, F64, 26) (dual of [129, 99, 27]-code), using
- linear OA(860, 259, F8, 25) (dual of [259, 199, 26]-code), using Gilbert–Varšamov bound and bm = 860 > Vbs−1(k−1) = 786175 140070 077847 813691 509886 798809 858889 083632 283616 [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
- linear OA(860, 258, F8, 26) (dual of [258, 198, 27]-code), using
- construction X with Varšamov bound [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.