Information on Result #677830
Linear OA(360, 67, F3, 37) (dual of [67, 7, 38]-code), using construction X applied to Ce(39) ⊂ Ce(21) based on
- linear OA(340, 41, F3, 40) (dual of [41, 1, 41]-code or 41-arc in PG(39,3)), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(334, 41, F3, 22) (dual of [41, 7, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(320, 26, F3, 14) (dual of [26, 6, 15]-code), using
- contraction [i] based on linear OA(346, 52, F3, 29) (dual of [52, 6, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,27], and minimum distance d ≥ |{−1,0,…,27}|+1 = 30 (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(359, 66, F3, 36) (dual of [66, 7, 37]-code) | [i] | Truncation | |