Information on Result #2650382
Linear OOA(12859, large, F128, 3, 7), using strength reduction based on linear OOA(12859, large, F128, 3, 9), using
- (u, u+v)-construction [i] based on
- linear OOA(12813, 4194301, F128, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- linear OOA(12846, 5592402, F128, 3, 9) (dual of [(5592402, 3), 16777160, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12813, 4194301, F128, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code) (see above)
- linear OOA(12833, 2796201, F128, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12813, 4194301, F128, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.