Information on Result #710707
Linear OA(5126, 333, F5, 41) (dual of [333, 207, 42]-code), using construction XX applied to C1 = C([53,91]), C2 = C([57,93]), C3 = C1 + C2 = C([57,91]), and C∩ = C1 ∩ C2 = C([53,93]) based on
- linear OA(5117, 312, F5, 39) (dual of [312, 195, 40]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {53,54,…,91}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- 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(5121, 312, F5, 41) (dual of [312, 191, 42]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {53,54,…,93}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5105, 312, F5, 35) (dual of [312, 207, 36]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {57,58,…,91}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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(5126, 166, F5, 2, 41) (dual of [(166, 2), 206, 42]-NRT-code) | [i] | OOA Folding | |