Information on Result #861174
Linear OOA(2534, 315, F25, 2, 17) (dual of [(315, 2), 596, 18]-NRT-code), using OOA 2-folding based on linear OA(2534, 630, F25, 17) (dual of [630, 596, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2534, 631, F25, 17) (dual of [631, 597, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(2533, 626, F25, 17) (dual of [626, 593, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 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(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([0,8]) ⊂ C([0,7]) [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(2546, 381, F25, 2, 17) (dual of [(381, 2), 716, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (17, 34, 315)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |