Information on Result #1082581
Linear OOA(8167, 2097314, F81, 4, 15) (dual of [(2097314, 4), 8389189, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 164, F81, 4, 7) (dual of [(164, 4), 646, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;325,81) [i]
- linear OOA(817, 82, F81, 4, 7) (dual of [(82, 4), 321, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;321,81) [i]
- linear OOA(813, 82, F81, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8157, 2097150, F81, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8157, 8388600, F81, 15) (dual of [8388600, 8388543, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 4-folding [i] based on linear OA(8157, 8388600, F81, 15) (dual of [8388600, 8388543, 16]-code), using
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.