Information on Result #632821
Linear OA(3212, 221, F3, 134) (dual of [221, 9, 135]-code), using concatenation of two codes based on
- linear OA(2714, 17, F27, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- Reed–Solomon code RS(13,27) [i]
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- 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(3212, 221, F3, 133) (dual of [221, 9, 134]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3211, 220, F3, 133) (dual of [220, 9, 134]-code) | [i] | Truncation | |
| 3 | Linear OA(3210, 219, F3, 132) (dual of [219, 9, 133]-code) | [i] | ||
| 4 | Linear OA(3209, 218, F3, 131) (dual of [218, 9, 132]-code) | [i] | ||
| 5 | Linear OA(3208, 217, F3, 130) (dual of [217, 9, 131]-code) | [i] | ||