Information on Result #2732431
OOA(12867, 4194302, S128, 3, 19), using 1281 times duplication based on OOA(12866, 4194302, S128, 3, 19), using
- discarding parts of the base [i] based on linear OOA(25657, 4194302, F256, 3, 19) (dual of [(4194302, 3), 12582849, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25657, 4194302, F256, 2, 19) (dual of [(4194302, 2), 8388547, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25657, 4194302, F256, 2, 19) (dual of [(4194302, 2), 8388547, 20]-NRT-code), using
Mode: Arbitrary.
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.