Information on Result #1838713
OOA(12878, 4194430, S128, 4, 15), using (u, u+v)-construction based on
- linear OOA(1287, 129, F128, 4, 7) (dual of [(129, 4), 509, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;509,128) [i]
- OOA(12871, 4194301, S128, 4, 15), using
- OOA 2-folding [i] based on OOA(12871, 8388602, S128, 2, 15), using
- discarding parts of the base [i] based on linear OOA(25662, 8388602, F256, 2, 15) (dual of [(8388602, 2), 16777142, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding parts of the base [i] based on linear OOA(25662, 8388602, F256, 2, 15) (dual of [(8388602, 2), 16777142, 16]-NRT-code), using
- OOA 2-folding [i] based on OOA(12871, 8388602, S128, 2, 15), using
Mode: Constructive.
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.