Information on Result #610420
Linear OA(3114, 117, F3, 80) (dual of [117, 3, 81]-code), using repeating each code word 9 times based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (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.
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(3114, 117, F3, 79) (dual of [117, 3, 80]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3115, 118, F3, 80) (dual of [118, 3, 81]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3113, 116, F3, 79) (dual of [116, 3, 80]-code) | [i] | Truncation | |
| 4 | Linear OA(3112, 115, F3, 78) (dual of [115, 3, 79]-code) | [i] | ||
| 5 | Linear OA(3111, 114, F3, 77) (dual of [114, 3, 78]-code) | [i] | ||
| 6 | Linear OA(3109, 112, F3, 75) (dual of [112, 3, 76]-code) | [i] | ||
| 7 | Linear OOA(3114, 39, F3, 3, 80) (dual of [(39, 3), 3, 81]-NRT-code) | [i] | OOA Folding | |