Information on Result #899823
Linear OOA(25104, 4194367, F25, 2, 19) (dual of [(4194367, 2), 8388630, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2513, 66, F25, 2, 9) (dual of [(66, 2), 119, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,122P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2591, 4194301, F25, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2591, 8388602, F25, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2591, large, F25, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, 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(2591, large, F25, 19) (dual of [large, large−91, 20]-code), using
- OOA 2-folding [i] based on linear OA(2591, 8388602, F25, 19) (dual of [8388602, 8388511, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25106, 4194368, F25, 2, 19) (dual of [(4194368, 2), 8388630, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25105, 4194367, F25, 2, 19) (dual of [(4194367, 2), 8388629, 20]-NRT-code) | [i] | OOA Duplication | |