Information on Result #1813500
Digital (20, 38, 5765)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12838, 5765, F128, 2, 18) (dual of [(5765, 2), 11492, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12838, 8197, F128, 2, 18) (dual of [(8197, 2), 16356, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12838, 16394, F128, 18) (dual of [16394, 16356, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12838, 16395, F128, 18) (dual of [16395, 16357, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1283, 11, F128, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,128) or 11-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(12838, 16395, F128, 18) (dual of [16395, 16357, 19]-code), using
- OOA 2-folding [i] based on linear OA(12838, 16394, F128, 18) (dual of [16394, 16356, 19]-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.