Information on Result #904469
Linear OOA(8175, 4200867, F81, 2, 15) (dual of [(4200867, 2), 8401659, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8118, 6566, F81, 2, 7) (dual of [(6566, 2), 13114, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 6562, F81, 2, 3) (dual of [(6562, 2), 13120, 4]-NRT-code), using
- linear OOA(8114, 3283, F81, 2, 7) (dual of [(3283, 2), 6552, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8114, 6566, F81, 7) (dual of [6566, 6552, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8114, 6567, F81, 7) (dual of [6567, 6553, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(819, 6562, F81, 5) (dual of [6562, 6553, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8114, 6567, F81, 7) (dual of [6567, 6553, 8]-code), using
- OOA 2-folding [i] based on linear OA(8114, 6566, F81, 7) (dual of [6566, 6552, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 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 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 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.