Information on Result #693424
Linear OA(2597, 15628, F25, 34) (dual of [15628, 15531, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- linear OA(2597, 15625, F25, 34) (dual of [15625, 15528, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2594, 15625, F25, 33) (dual of [15625, 15531, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-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(2597, 7814, F25, 2, 34) (dual of [(7814, 2), 15531, 35]-NRT-code) | [i] | OOA Folding | |