Information on Result #710648
Linear OA(5103, 326, F5, 34) (dual of [326, 223, 35]-code), using construction XX applied to C1 = C([62,93]), C2 = C([60,91]), C3 = C1 + C2 = C([62,91]), and C∩ = C1 ∩ C2 = C([60,93]) based on
- linear OA(593, 312, F5, 32) (dual of [312, 219, 33]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,93}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(597, 312, F5, 32) (dual of [312, 215, 33]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {60,61,…,91}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(5101, 312, F5, 34) (dual of [312, 211, 35]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {60,61,…,93}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(589, 312, F5, 30) (dual of [312, 223, 31]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,91}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5103, 163, F5, 2, 34) (dual of [(163, 2), 223, 35]-NRT-code) | [i] | OOA Folding | |