Information on Result #722951
Linear OA(2578, 316, F25, 43) (dual of [316, 238, 44]-code), using construction XX applied to C1 = C([311,40]), C2 = C([0,41]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([311,41]) based on
- linear OA(2576, 312, F25, 42) (dual of [312, 236, 43]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−1,0,…,40}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2576, 312, F25, 42) (dual of [312, 236, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2578, 312, F25, 43) (dual of [312, 234, 44]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−1,0,…,41}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2574, 312, F25, 41) (dual of [312, 238, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [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(2579, 320, F25, 43) (dual of [320, 241, 44]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(2578, 158, F25, 2, 43) (dual of [(158, 2), 238, 44]-NRT-code) | [i] | OOA Folding | |