Information on Result #1012191
Linear OOA(4230, 2796210, F4, 3, 25) (dual of [(2796210, 3), 8388400, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(413, 9, F4, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4217, 2796201, F4, 3, 25) (dual of [(2796201, 3), 8388386, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-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(4230, 699052, F4, 27, 25) (dual of [(699052, 27), 18874174, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |