Information on Result #1584226
Linear OOA(25667, 16500, F256, 4, 29) (dual of [(16500, 4), 65933, 30]-NRT-code), using OOA 2-folding based on linear OOA(25667, 33000, F256, 2, 29) (dual of [(33000, 2), 65933, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25667, 33000, F256, 29) (dual of [33000, 32933, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(25667, 65568, F256, 29) (dual of [65568, 65501, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(17) [i] based on
- linear OA(25657, 65536, F256, 29) (dual of [65536, 65479, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(25610, 32, F256, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,256)), using
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- Reed–Solomon code RS(246,256) [i]
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- construction X applied to Ce(28) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(25667, 65568, F256, 29) (dual of [65568, 65501, 30]-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.