Information on Result #683970
Linear OA(5150, 165, F5, 95) (dual of [165, 15, 96]-code), using construction X applied to C([0,90]) ⊂ C([0,85]) based on
- linear OA(5149, 156, F5, 98) (dual of [156, 7, 99]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,90], and minimum distance d ≥ |{−7,−6,…,90}|+1 = 99 (BCH-bound) [i]
- linear OA(5141, 156, F5, 93) (dual of [156, 15, 94]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,85], and minimum distance d ≥ |{−7,−6,…,85}|+1 = 94 (BCH-bound) [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(5150, 55, F5, 3, 95) (dual of [(55, 3), 15, 96]-NRT-code) | [i] | OOA Folding | |