Information on Result #1084919
Linear OOA(12876, 4202428, F128, 4, 13) (dual of [(4202428, 4), 16809636, 14]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(1286, 8128, F128, 4, 4) (dual of [(8128, 4), 32506, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(1286, 16256, F128, 4) (dual of [16256, 16250, 5]-code), using
- 1 times truncation [i] based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(1286, 16256, F128, 4) (dual of [16256, 16250, 5]-code), using
- linear OOA(12821, 2097150, F128, 4, 6) (dual of [(2097150, 4), 8388579, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12821, 2796201, F128, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- discarding factors / shortening the dual code based on linear OOA(12821, 2796201, F128, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code), using
- linear OOA(12849, 2097150, F128, 4, 13) (dual of [(2097150, 4), 8388551, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12849, 8388600, F128, 13) (dual of [8388600, 8388551, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- OOA 4-folding [i] based on linear OA(12849, 8388600, F128, 13) (dual of [8388600, 8388551, 14]-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.