Information on Result #1085053
Linear OOA(25663, 4292220, F256, 4, 12) (dual of [(4292220, 4), 17168817, 13]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(2563, 32640, F256, 4, 2) (dual of [(32640, 4), 130557, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 65793, F256, 4, 2) (dual of [(65793, 4), 263169, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [i]
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 65793, F256, 4, 2) (dual of [(65793, 4), 263169, 3]-NRT-code), using
- linear OOA(2564, 32640, F256, 4, 3) (dual of [(32640, 4), 130556, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 65537, F256, 4, 3) (dual of [(65537, 4), 262144, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 65537, F256, 4, 3) (dual of [(65537, 4), 262144, 4]-NRT-code), using
- linear OOA(2566, 32640, F256, 4, 4) (dual of [(32640, 4), 130554, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- 1 times truncation [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- linear OOA(25616, 2097150, F256, 4, 6) (dual of [(2097150, 4), 8388584, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25616, 2796201, F256, 4, 6) (dual of [(2796201, 4), 11184788, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- discarding factors / shortening the dual code based on linear OOA(25616, 2796201, F256, 4, 6) (dual of [(2796201, 4), 11184788, 7]-NRT-code), using
- linear OOA(25634, 2097150, F256, 4, 12) (dual of [(2097150, 4), 8388566, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25634, 8388600, F256, 12) (dual of [8388600, 8388566, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- OOA 4-folding [i] based on linear OA(25634, 8388600, F256, 12) (dual of [8388600, 8388566, 13]-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.