Information on Result #1082552
Linear OOA(8172, 2274297, F81, 4, 14) (dual of [(2274297, 4), 9097116, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8119, 177147, F81, 4, 7) (dual of [(177147, 4), 708569, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(8119, 531442, F81, 7) (dual of [531442, 531423, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(8119, 531442, F81, 7) (dual of [531442, 531423, 8]-code), using
- linear OOA(8153, 2097150, F81, 4, 14) (dual of [(2097150, 4), 8388547, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8153, 8388600, F81, 14) (dual of [8388600, 8388547, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OOA 4-folding [i] based on linear OA(8153, 8388600, F81, 14) (dual of [8388600, 8388547, 15]-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.