Information on Result #693459
Linear OA(2519, 15628, F25, 7) (dual of [15628, 15609, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(2519, 15625, F25, 7) (dual of [15625, 15606, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2516, 15625, F25, 6) (dual of [15625, 15609, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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 OA(2522, 15654, F25, 7) (dual of [15654, 15632, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2523, 16254, F25, 7) (dual of [16254, 16231, 8]-code) | [i] | ||
| 3 | Linear OA(2524, 17162, F25, 7) (dual of [17162, 17138, 8]-code) | [i] | ||
| 4 | Linear OOA(2519, 7814, F25, 2, 7) (dual of [(7814, 2), 15609, 8]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2519, 5209, F25, 7, 7) (dual of [(5209, 7), 36444, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |