Information on Result #1625007
Linear OOA(25667, 13435, F256, 5, 30) (dual of [(13435, 5), 67108, 31]-NRT-code), using OOA 2-folding based on linear OOA(25667, 26870, F256, 3, 30) (dual of [(26870, 3), 80543, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25667, 26871, F256, 3, 30) (dual of [(26871, 3), 80546, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25667, 26871, F256, 2, 30) (dual of [(26871, 2), 53675, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25667, 32781, F256, 2, 30) (dual of [(32781, 2), 65495, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25667, 65562, F256, 30) (dual of [65562, 65495, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(20) [i] based on
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2568, 26, F256, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,256)), using
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- Reed–Solomon code RS(248,256) [i]
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- construction X applied to Ce(29) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(25667, 65562, F256, 30) (dual of [65562, 65495, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(25667, 32781, F256, 2, 30) (dual of [(32781, 2), 65495, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25667, 26871, F256, 2, 30) (dual of [(26871, 2), 53675, 31]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.