Information on Result #710678
Linear OA(5117, 332, F5, 38) (dual of [332, 215, 39]-code), using construction XX applied to C1 = C([57,93]), C2 = C([61,94]), C3 = C1 + C2 = C([61,93]), and C∩ = C1 ∩ C2 = C([57,94]) based on
- linear OA(5109, 312, F5, 37) (dual of [312, 203, 38]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {57,58,…,93}, and designed minimum distance d ≥ |I|+1 = 38 [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 = {61,62,…,94}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(5113, 312, F5, 38) (dual of [312, 199, 39]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {57,58,…,94}, and designed minimum distance d ≥ |I|+1 = 39 [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(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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(5117, 166, F5, 2, 38) (dual of [(166, 2), 215, 39]-NRT-code) | [i] | OOA Folding | |