Information on Result #904468
Linear OOA(8174, 4200863, F81, 2, 15) (dual of [(4200863, 2), 8401652, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8117, 6562, F81, 2, 7) (dual of [(6562, 2), 13107, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8117, 13124, F81, 7) (dual of [13124, 13107, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(814, 6562, F81, 3) (dual of [6562, 6558, 4]-code or 6562-cap in PG(3,81)), using
- 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]
- (u, u+v)-construction [i] based on
- OOA 2-folding [i] based on linear OA(8117, 13124, F81, 7) (dual of [13124, 13107, 8]-code), using
- 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.