Information on Result #1068753
Linear OOA(8158, 2097232, F81, 4, 13) (dual of [(2097232, 4), 8388870, 14]-NRT-code), using OOA 2-folding based on linear OOA(8158, 4194464, F81, 2, 13) (dual of [(4194464, 2), 8388870, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8158, 4194465, F81, 2, 13) (dual of [(4194465, 2), 8388872, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(819, 164, F81, 2, 6) (dual of [(164, 2), 319, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;161,81) [i]
- linear OOA(816, 82, F81, 2, 6) (dual of [(82, 2), 158, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;158,81) [i]
- linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- linear OOA(819, 164, F81, 2, 6) (dual of [(164, 2), 319, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and 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.