Information on Result #1747084
Digital (26, 40, 367815)-net over F128, using net defined by OOA based on linear OOA(12840, 367815, F128, 20, 14) (dual of [(367815, 20), 7356260, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12840, 735631, F128, 4, 14) (dual of [(735631, 4), 2942484, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12840, 735632, F128, 4, 14) (dual of [(735632, 4), 2942488, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12840, 735632, F128, 2, 14) (dual of [(735632, 2), 1471224, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12840, 1048577, F128, 2, 14) (dual of [(1048577, 2), 2097114, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12840, 2097154, F128, 14) (dual of [2097154, 2097114, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- OOA 2-folding [i] based on linear OA(12840, 2097154, F128, 14) (dual of [2097154, 2097114, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(12840, 1048577, F128, 2, 14) (dual of [(1048577, 2), 2097114, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12840, 735632, F128, 2, 14) (dual of [(735632, 2), 1471224, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12840, 735632, F128, 4, 14) (dual of [(735632, 4), 2942488, 15]-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.