Information on Result #693471
Linear OA(2592, 15632, F25, 32) (dual of [15632, 15540, 33]-code), using construction X applied to Ce(31) ⊂ Ce(29) based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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 OOA(2592, 8714, F25, 2, 32) (dual of [(8714, 2), 17336, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (60, 92, 8714)-net over F25 | [i] | ||
| 3 | Linear OOA(2592, 7816, F25, 2, 32) (dual of [(7816, 2), 15540, 33]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2592, 977, F25, 32, 32) (dual of [(977, 32), 31172, 33]-NRT-code) | [i] | OA Folding and Stacking | |