Information on Result #724997
Linear OA(2594, 628, F25, 49) (dual of [628, 534, 50]-code), using construction XX applied to C1 = C([623,46]), C2 = C([0,47]), C3 = C1 + C2 = C([0,46]), and C∩ = C1 ∩ C2 = C([623,47]) based on
- linear OA(2592, 624, F25, 48) (dual of [624, 532, 49]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,46}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(2592, 624, F25, 48) (dual of [624, 532, 49]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,47], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(2594, 624, F25, 49) (dual of [624, 530, 50]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,47}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(2590, 624, F25, 47) (dual of [624, 534, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [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 OOA(2594, 314, F25, 2, 49) (dual of [(314, 2), 534, 50]-NRT-code) | [i] | OOA Folding | |