Information on Result #671939
Linear OA(3184, 190, F3, 121) (dual of [190, 6, 122]-code), using juxtaposition based on
- linear OA(319, 25, F3, 13) (dual of [25, 6, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using
- contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,25], and minimum distance d ≥ |{−1,0,…,25}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using
- linear OA(3159, 165, F3, 107) (dual of [165, 6, 108]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(350, 55, F3, 35) (dual of [55, 5, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(350, 56, F3, 35) (dual of [56, 6, 36]-code), using
- linear OA(354, 55, F3, 53) (dual of [55, 1, 54]-code), using
- strength reduction [i] based on linear OA(354, 55, F3, 54) (dual of [55, 1, 55]-code or 55-arc in PG(53,3)), using
- dual of repetition code with length 55 [i]
- strength reduction [i] based on linear OA(354, 55, F3, 54) (dual of [55, 1, 55]-code or 55-arc in PG(53,3)), using
- linear OA(355, 55, F3, 55) (dual of [55, 0, 56]-code or 55-arc in PG(54,3)), using
- linear OA(350, 55, F3, 35) (dual of [55, 5, 36]-code), using
- (u, u−v, u+v+w)-construction [i] based on
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(3184, 38, F3, 5, 121) (dual of [(38, 5), 6, 122]-NRT-code) | [i] | OOA Folding | |