Information on Result #693457
Linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(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(2526, 15654, F25, 8) (dual of [15654, 15628, 9]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(2527, 15657, F25, 8) (dual of [15657, 15630, 9]-code) | [i] | ||
3 | Linear OA(2528, 16228, F25, 8) (dual of [16228, 16200, 9]-code) | [i] | ||
4 | Linear OOA(2522, 7814, F25, 2, 8) (dual of [(7814, 2), 15606, 9]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(2522, 3907, F25, 8, 8) (dual of [(3907, 8), 31234, 9]-NRT-code) | [i] | OA Folding and Stacking |