Information on Result #693483
Linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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
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 OA(2548, 15658, F25, 14) (dual of [15658, 15610, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2549, 15661, F25, 14) (dual of [15661, 15612, 15]-code) | [i] | ||
| 3 | Linear OA(2552, 15710, F25, 14) (dual of [15710, 15658, 15]-code) | [i] | ||
| 4 | Linear OOA(2541, 10063, F25, 2, 14) (dual of [(10063, 2), 20085, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (27, 41, 10063)-net over F25 | [i] | ||
| 6 | Linear OOA(2541, 7816, F25, 2, 14) (dual of [(7816, 2), 15591, 15]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2541, 2233, F25, 14, 14) (dual of [(2233, 14), 31221, 15]-NRT-code) | [i] | OA Folding and Stacking | |