Information on Result #860797
Linear OOA(2516, 315, F25, 2, 8) (dual of [(315, 2), 614, 9]-NRT-code), using OOA 2-folding based on linear OA(2516, 630, F25, 8) (dual of [630, 614, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(2515, 625, F25, 8) (dual of [625, 610, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2511, 625, F25, 6) (dual of [625, 614, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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
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, 4194616, F25, 2, 16) (dual of [(4194616, 2), 8389140, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2597, 4194616, F25, 2, 17) (dual of [(4194616, 2), 8389135, 18]-NRT-code) | [i] | ||