Information on Result #1022884
Linear OOA(25662, 5657939, F256, 3, 12) (dual of [(5657939, 3), 16973755, 13]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;769,256) [i]
- linear OOA(2564, 32640, F256, 3, 3) (dual of [(32640, 3), 97916, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 65536, F256, 3, 3) (dual of [(65536, 3), 196604, 4]-NRT-code), using
- linear OOA(2566, 32640, F256, 3, 4) (dual of [(32640, 3), 97914, 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, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- OOA 3-folding [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]
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(25634, 2796201, F256, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 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.