Information on Result #722854
Linear OA(2565, 214, F25, 36) (dual of [214, 149, 37]-code), using construction XX applied to C1 = C([9,43]), C2 = C([8,40]), C3 = C1 + C2 = C([9,40]), and C∩ = C1 ∩ C2 = C([8,43]) based on
- linear OA(2561, 208, F25, 35) (dual of [208, 147, 36]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {9,10,…,43}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2561, 208, F25, 33) (dual of [208, 147, 34]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {8,9,…,40}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2563, 208, F25, 36) (dual of [208, 145, 37]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {8,9,…,43}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2559, 208, F25, 32) (dual of [208, 149, 33]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {9,10,…,40}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(252, 4, F25, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- 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
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(2565, 107, F25, 2, 36) (dual of [(107, 2), 149, 37]-NRT-code) | [i] | OOA Folding | |