Information on Result #710639
Linear OA(5100, 327, F5, 33) (dual of [327, 227, 34]-code), using construction XX applied to C1 = C([63,93]), C2 = C([61,90]), C3 = C1 + C2 = C([63,90]), and C∩ = C1 ∩ C2 = C([61,93]) based on
- linear OA(589, 312, F5, 31) (dual of [312, 223, 32]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(591, 312, F5, 30) (dual of [312, 221, 31]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {61,62,…,90}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(597, 312, F5, 33) (dual of [312, 215, 34]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {61,62,…,93}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(583, 312, F5, 28) (dual of [312, 229, 29]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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
None.