Information on Result #861063
Linear OOA(2530, 315, F25, 2, 15) (dual of [(315, 2), 600, 16]-NRT-code), using OOA 2-folding based on linear OA(2530, 630, F25, 15) (dual of [630, 600, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2530, 631, F25, 15) (dual of [631, 601, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(2529, 626, F25, 15) (dual of [626, 597, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(2525, 626, F25, 13) (dual of [626, 601, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
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(2541, 381, F25, 2, 15) (dual of [(381, 2), 721, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (15, 30, 315)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |