Information on Result #1014770
Linear OOA(8141, 2796225, F8, 3, 19) (dual of [(2796225, 3), 8388534, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(812, 24, F8, 3, 9) (dual of [(24, 3), 60, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,62P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,62P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(8129, 2796201, F8, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 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(8141, 932074, F8, 21, 19) (dual of [(932074, 21), 19573413, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |