Information on Result #677718
Linear OA(335, 85, F3, 14) (dual of [85, 50, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(335, 81, F3, 14) (dual of [81, 46, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(331, 81, F3, 13) (dual of [81, 50, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 4, F3, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(342, 107, F3, 14) (dual of [107, 65, 15]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(344, 124, F3, 14) (dual of [124, 80, 15]-code) | [i] | ||
| 3 | Linear OA(345, 134, F3, 14) (dual of [134, 89, 15]-code) | [i] | ||
| 4 | Linear OOA(335, 42, F3, 2, 14) (dual of [(42, 2), 49, 15]-NRT-code) | [i] | OOA Folding | |