Information on Result #1673118
Linear OOA(25660, 32782, F256, 6, 26) (dual of [(32782, 6), 196632, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25660, 32782, F256, 2, 26) (dual of [(32782, 2), 65504, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25660, 65564, F256, 26) (dual of [65564, 65504, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(25660, 65565, F256, 26) (dual of [65565, 65505, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(15) [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(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2569, 29, F256, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,256)), using
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- Reed–Solomon code RS(247,256) [i]
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- construction X applied to Ce(25) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(25660, 65565, F256, 26) (dual of [65565, 65505, 27]-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.