Information on Result #694033
Linear OA(2587, 630, F25, 45) (dual of [630, 543, 46]-code), using construction X applied to Ce(44) ⊂ Ce(42) based on
- linear OA(2586, 625, F25, 45) (dual of [625, 539, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2582, 625, F25, 43) (dual of [625, 543, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(2587, 315, F25, 2, 45) (dual of [(315, 2), 543, 46]-NRT-code) | [i] | OOA Folding | |