Information on Result #1082570
Linear OOA(8141, 1885, F81, 4, 15) (dual of [(1885, 4), 7499, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8112, 245, F81, 4, 7) (dual of [(245, 4), 968, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(8112, 246, F81, 3, 7) (dual of [(246, 3), 726, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(812, 82, F81, 3, 2) (dual of [(82, 3), 244, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;244,81) [i]
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;243,81) [i]
- linear OOA(817, 82, F81, 3, 7) (dual of [(82, 3), 239, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;239,81) [i]
- linear OOA(812, 82, F81, 3, 2) (dual of [(82, 3), 244, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(8112, 246, F81, 3, 7) (dual of [(246, 3), 726, 8]-NRT-code), using
- linear OOA(8129, 1640, F81, 4, 15) (dual of [(1640, 4), 6531, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8129, 6560, F81, 15) (dual of [6560, 6531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- OOA 4-folding [i] based on linear OA(8129, 6560, F81, 15) (dual of [6560, 6531, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.