Information on Result #1615501
Linear OOA(25644, 25064, F256, 4, 20) (dual of [(25064, 4), 100212, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25644, 25064, F256, 2, 20) (dual of [(25064, 2), 50084, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25644, 32776, F256, 2, 20) (dual of [(32776, 2), 65508, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25644, 65552, F256, 20) (dual of [65552, 65508, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25644, 65553, F256, 20) (dual of [65553, 65509, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(25644, 65553, F256, 20) (dual of [65553, 65509, 21]-code), using
- OOA 2-folding [i] based on linear OA(25644, 65552, F256, 20) (dual of [65552, 65508, 21]-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.