Information on Result #1748856
Digital (32, 58, 8998)-net over F256, using net defined by OOA based on linear OOA(25658, 8998, F256, 35, 26) (dual of [(8998, 35), 314872, 27]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25658, 26995, F256, 5, 26) (dual of [(26995, 5), 134917, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25658, 26995, F256, 2, 26) (dual of [(26995, 2), 53932, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25658, 32779, F256, 2, 26) (dual of [(32779, 2), 65500, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25658, 65558, F256, 26) (dual of [65558, 65500, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(25658, 65559, F256, 26) (dual of [65559, 65501, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(25658, 65559, F256, 26) (dual of [65559, 65501, 27]-code), using
- OOA 2-folding [i] based on linear OA(25658, 65558, F256, 26) (dual of [65558, 65500, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(25658, 32779, F256, 2, 26) (dual of [(32779, 2), 65500, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25658, 26995, F256, 2, 26) (dual of [(26995, 2), 53932, 27]-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.