Information on Result #710751
Linear OA(5135, 330, F5, 44) (dual of [330, 195, 45]-code), using construction XX applied to C1 = C([36,78]), C2 = C([40,79]), C3 = C1 + C2 = C([40,78]), and C∩ = C1 ∩ C2 = C([36,79]) based on
- linear OA(5127, 312, F5, 43) (dual of [312, 185, 44]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {36,37,…,78}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5121, 312, F5, 40) (dual of [312, 191, 41]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {40,41,…,79}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5131, 312, F5, 44) (dual of [312, 181, 45]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {36,37,…,79}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- 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 = {40,41,…,78}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-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(5135, 165, F5, 2, 44) (dual of [(165, 2), 195, 45]-NRT-code) | [i] | OOA Folding | |