Information on Result #1082695
Linear OOA(8182, 2097232, F81, 4, 19) (dual of [(2097232, 4), 8388846, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 82, F81, 4, 9) (dual of [(82, 4), 319, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;319,81) [i]
- linear OOA(8173, 2097150, F81, 4, 19) (dual of [(2097150, 4), 8388527, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8173, 8388600, F81, 19) (dual of [8388600, 8388527, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- OOA 4-folding [i] based on linear OA(8173, 8388600, F81, 19) (dual of [8388600, 8388527, 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.