Information on Result #1013544
Linear OOA(5141, 1062, F5, 3, 31) (dual of [(1062, 3), 3045, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(520, 20, F5, 3, 15) (dual of [(20, 3), 40, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- linear OOA(5121, 1042, F5, 3, 31) (dual of [(1042, 3), 3005, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(5140, 1061, F5, 3, 30) (dual of [(1061, 3), 3043, 31]-NRT-code) | [i] | Truncation for OOAs | |