Information on Result #614411
Linear OA(721, 26, F7, 17) (dual of [26, 5, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(721, 25, F7, 17) (dual of [25, 4, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 25 | 74−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(720, 25, F7, 16) (dual of [25, 5, 17]-code), using the narrow-sense BCH-code C(I) with length 25 | 74−1, defining interval I = [1,8], and minimum distance d ≥ |{−10,−7,−4,…,10}|+1 = 17 (BCH-bound) [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(777, 82, F7, 59) (dual of [82, 5, 60]-code) | [i] | Juxtaposition | |
| 2 | Linear OOA(721, 13, F7, 2, 17) (dual of [(13, 2), 5, 18]-NRT-code) | [i] | OOA Folding | |