Information on Result #904558
Linear OOA(8180, 4194417, F81, 2, 18) (dual of [(4194417, 2), 8388754, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8111, 116, F81, 2, 9) (dual of [(116, 2), 221, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,222P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8169, 4194301, F81, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-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(8181, 4194417, F81, 2, 18) (dual of [(4194417, 2), 8388753, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8180, 2097208, F81, 4, 18) (dual of [(2097208, 4), 8388752, 19]-NRT-code) | [i] | OOA Folding | |