Information on Result #722817
Linear OA(2539, 212, F25, 21) (dual of [212, 173, 22]-code), using construction XX applied to C1 = C([207,18]), C2 = C([0,19]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([207,19]) based on
- linear OA(2537, 208, F25, 20) (dual of [208, 171, 21]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2537, 208, F25, 20) (dual of [208, 171, 21]-code), using the expurgated narrow-sense BCH-code C(I) with length 208 | 252−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2539, 208, F25, 21) (dual of [208, 169, 22]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2535, 208, F25, 19) (dual of [208, 173, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 208 | 252−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(2539, 106, F25, 2, 21) (dual of [(106, 2), 173, 22]-NRT-code) | [i] | OOA Folding | |