Information on Result #1735674
Digital (87, 118, 7011)-net over F16, using net defined by OOA based on linear OOA(16118, 7011, F16, 34, 31) (dual of [(7011, 34), 238256, 32]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(16118, 56089, F16, 2, 31) (dual of [(56089, 2), 112060, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16118, 56094, F16, 2, 31) (dual of [(56094, 2), 112070, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16118, 56094, F16, 31) (dual of [56094, 55976, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(16118, 65545, F16, 31) (dual of [65545, 65427, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(16117, 65536, F16, 31) (dual of [65536, 65419, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(16109, 65536, F16, 29) (dual of [65536, 65427, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(161, 9, F16, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(16118, 65545, F16, 31) (dual of [65545, 65427, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16118, 56094, F16, 31) (dual of [56094, 55976, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(16118, 56094, F16, 2, 31) (dual of [(56094, 2), 112070, 32]-NRT-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.