Information on Result #1735688
Digital (95, 126, 15068)-net over F16, using net defined by OOA based on linear OOA(16126, 15068, F16, 34, 31) (dual of [(15068, 34), 512186, 32]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(16126, 120545, F16, 2, 31) (dual of [(120545, 2), 240964, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16126, 120545, F16, 31) (dual of [120545, 120419, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(16126, 131088, F16, 31) (dual of [131088, 130962, 32]-code), using
- trace code [i] based on linear OA(25663, 65544, F256, 31) (dual of [65544, 65481, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(25661, 65536, F256, 31) (dual of [65536, 65475, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- trace code [i] based on linear OA(25663, 65544, F256, 31) (dual of [65544, 65481, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(16126, 131088, F16, 31) (dual of [131088, 130962, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16126, 120545, F16, 31) (dual of [120545, 120419, 32]-code), using
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.