Information on Result #1624861
Linear OOA(25663, 2921514, F256, 5, 20) (dual of [(2921514, 5), 14607507, 21]-NRT-code), using OOA 2-folding based on linear OOA(25663, 5843028, F256, 3, 20) (dual of [(5843028, 3), 17529021, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25663, 5843029, F256, 3, 20) (dual of [(5843029, 3), 17529024, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25663, 5843029, F256, 20) (dual of [5843029, 5842966, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25663, large, F256, 20) (dual of [large, large−63, 21]-code), using
- 5 times code embedding in larger space [i] based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 5 times code embedding in larger space [i] based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25663, large, F256, 20) (dual of [large, large−63, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25663, 5843029, F256, 20) (dual of [5843029, 5842966, 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.