Information on Result #1143845
Linear OOA(2260, 1400148, F2, 6, 18) (dual of [(1400148, 6), 8400628, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(253, 2048, F2, 6, 9) (dual of [(2048, 6), 12235, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- linear OOA(2207, 1398100, F2, 6, 18) (dual of [(1398100, 6), 8388393, 19]-NRT-code), using
- OOA 6-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 6-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.