Information on Result #722869
Linear OA(2530, 316, F25, 16) (dual of [316, 286, 17]-code), using construction XX applied to C1 = C([311,13]), C2 = C([0,14]), C3 = C1 + C2 = C([0,13]), and C∩ = C1 ∩ C2 = C([311,14]) based on
- linear OA(2528, 312, F25, 15) (dual of [312, 284, 16]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2528, 312, F25, 15) (dual of [312, 284, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2530, 312, F25, 16) (dual of [312, 282, 17]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−1,0,…,14}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2526, 312, F25, 14) (dual of [312, 286, 15]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)
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(2592, 944, F25, 33) (dual of [944, 852, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2530, 158, F25, 2, 16) (dual of [(158, 2), 286, 17]-NRT-code) | [i] | OOA Folding | |