Information on Result #1011873
Linear OOA(4116, 2796210, F4, 3, 13) (dual of [(2796210, 3), 8388514, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(47, 9, F4, 3, 6) (dual of [(9, 3), 20, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [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,20P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4109, 2796201, F4, 3, 13) (dual of [(2796201, 3), 8388494, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-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(4116, 1398104, F4, 15, 13) (dual of [(1398104, 15), 20971444, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |