Information on Result #1175862
Linear OOA(2240, 1048639, F2, 8, 18) (dual of [(1048639, 8), 8388872, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(233, 64, F2, 8, 9) (dual of [(64, 8), 479, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 4-folding and stacking with additional row [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- linear OOA(2207, 1048575, F2, 8, 18) (dual of [(1048575, 8), 8388393, 19]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- OOA 8-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-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.