Information on Result #677712
Linear OA(378, 95, F3, 40) (dual of [95, 17, 41]-code), using construction X applied to Ce(39) ⊂ Ce(25) based on
- linear OA(365, 81, F3, 40) (dual of [81, 16, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(361, 81, F3, 26) (dual of [81, 20, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [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(378, 95, F3, 39) (dual of [95, 17, 40]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(377, 94, F3, 39) (dual of [94, 17, 40]-code) | [i] | Truncation | |
| 3 | Linear OA(376, 93, F3, 38) (dual of [93, 17, 39]-code) | [i] | ||
| 4 | Linear OA(375, 92, F3, 37) (dual of [92, 17, 38]-code) | [i] | ||
| 5 | Linear OA(374, 91, F3, 36) (dual of [91, 17, 37]-code) | [i] | ||