Information on Result #1009448
Linear OOA(2233, 2797566, F2, 3, 17) (dual of [(2797566, 3), 8392465, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(248, 1365, F2, 3, 8) (dual of [(1365, 3), 4047, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(248, 4095, F2, 8) (dual of [4095, 4047, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(248, 4096, F2, 8) (dual of [4096, 4048, 9]-code), using
- 1 times truncation [i] based on linear OA(249, 4097, F2, 9) (dual of [4097, 4048, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(249, 4097, F2, 9) (dual of [4097, 4048, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(248, 4096, F2, 8) (dual of [4096, 4048, 9]-code), using
- OOA 3-folding [i] based on linear OA(248, 4095, F2, 8) (dual of [4095, 4047, 9]-code), using
- linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-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.