Information on Result #693170
Linear OA(2562, 390634, F25, 16) (dual of [390634, 390572, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 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(2562, 310643, F25, 2, 16) (dual of [(310643, 2), 621224, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (46, 62, 310643)-net over F25 | [i] | ||
| 3 | Linear OOA(2562, 195317, F25, 2, 16) (dual of [(195317, 2), 390572, 17]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2562, 48829, F25, 16, 16) (dual of [(48829, 16), 781202, 17]-NRT-code) | [i] | OA Folding and Stacking | |