Information on Result #1747314
Digital (38, 56, 349528)-net over F128, using net defined by OOA based on linear OOA(12856, 349528, F128, 21, 18) (dual of [(349528, 21), 7340032, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12856, 1048585, F128, 3, 18) (dual of [(1048585, 3), 3145699, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12856, 1048585, F128, 2, 18) (dual of [(1048585, 2), 2097114, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12856, 2097170, F128, 18) (dual of [2097170, 2097114, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12856, 2097171, F128, 18) (dual of [2097171, 2097115, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(1284, 19, F128, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(12856, 2097171, F128, 18) (dual of [2097171, 2097115, 19]-code), using
- OOA 2-folding [i] based on linear OA(12856, 2097170, F128, 18) (dual of [2097170, 2097114, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12856, 1048585, F128, 2, 18) (dual of [(1048585, 2), 2097114, 19]-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.