Information on Result #896620
Linear OOA(8144, 4194333, F8, 2, 19) (dual of [(4194333, 2), 8388522, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(815, 32, F8, 2, 9) (dual of [(32, 2), 49, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 2-folding [i] based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using
- linear OOA(8129, 4194301, F8, 2, 19) (dual of [(4194301, 2), 8388473, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 20]-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.