Information on Result #2228540
Linear OA(3124, 132, F3, 78) (dual of [132, 8, 79]-code), using 2 times truncation based on linear OA(3126, 134, F3, 80) (dual of [134, 8, 81]-code), using
- construction X applied to C2 ⊂ C1 [i] based on
- linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using code C2 for u = 5 by de Boer and Brouwer [i]
- linear OA(3111, 121, F3, 71) (dual of [121, 10, 72]-code), using code C1 for u = 5 by de Boer and Brouwer [i]
- 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 OOA(3124, 66, F3, 2, 78) (dual of [(66, 2), 8, 79]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3124, 44, F3, 3, 78) (dual of [(44, 3), 8, 79]-NRT-code) | [i] | ||