Information on Result #1653617
Linear OOA(2258, 1677754, F2, 5, 20) (dual of [(1677754, 5), 8388512, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 34, F2, 5, 10) (dual of [(34, 5), 142, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 34, F2, 2, 10) (dual of [(34, 2), 40, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(228, 68, F2, 10) (dual of [68, 40, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(228, 69, F2, 10) (dual of [69, 41, 11]-code), using
- a “Gra†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(228, 69, F2, 10) (dual of [69, 41, 11]-code), using
- OOA 2-folding [i] based on linear OA(228, 68, F2, 10) (dual of [68, 40, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 34, F2, 2, 10) (dual of [(34, 2), 40, 11]-NRT-code), using
- linear OOA(2230, 1677720, F2, 5, 20) (dual of [(1677720, 5), 8388370, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- OOA 5-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.