Information on Result #614767
Linear OA(7108, 117, F7, 78) (dual of [117, 9, 79]-code), using construction X applied to C([0,75]) ⊂ C([1,75]) based on
- linear OA(7106, 114, F7, 78) (dual of [114, 8, 79]-code), using the expurgated narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [0,75], and minimum distance d ≥ |{−2,−1,…,75}|+1 = 79 (BCH-bound) [i]
- linear OA(7105, 114, F7, 75) (dual of [114, 9, 76]-code), using the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,75], and designed minimum distance d ≥ |I|+1 = 76 [i]
- linear OA(72, 3, F7, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,7)), using
- dual of repetition code with length 3 [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(7108, 39, F7, 3, 78) (dual of [(39, 3), 9, 79]-NRT-code) | [i] | OOA Folding | |