Information on Result #1013212
Linear OOA(5108, 2796211, F5, 3, 13) (dual of [(2796211, 3), 8388525, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(57, 10, F5, 3, 6) (dual of [(10, 3), 23, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 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(5149, 5592412, F5, 3, 13) (dual of [(5592412, 3), 16777087, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5108, 1398105, F5, 15, 13) (dual of [(1398105, 15), 20971467, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |