Information on Result #641278
Linear OA(7102, 106, F7, 86) (dual of [106, 4, 87]-code), using juxtaposition based on
- linear OA(72, 6, F7, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- linear OA(796, 100, F7, 83) (dual of [100, 4, 84]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 100 | 74−1, defining interval I = [0,66], and minimum distance d ≥ |{−16,−15,…,66}|+1 = 84 (BCH-bound) [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 OA(7102, 106, F7, 85) (dual of [106, 4, 86]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(7102, 53, F7, 2, 86) (dual of [(53, 2), 4, 87]-NRT-code) | [i] | OOA Folding | |