Information on Result #677756
Linear OA(339, 103, F3, 13) (dual of [103, 64, 14]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
- 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(317, 81, F3, 7) (dual of [81, 64, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(38, 22, F3, 5) (dual of [22, 14, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), 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(338, 102, F3, 12) (dual of [102, 64, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(339, 101, F3, 2, 13) (dual of [(101, 2), 163, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(339, 101, F3, 3, 13) (dual of [(101, 3), 264, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(339, 101, F3, 4, 13) (dual of [(101, 4), 365, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(339, 101, F3, 5, 13) (dual of [(101, 5), 466, 14]-NRT-code) | [i] | ||
| 6 | Digital (26, 39, 101)-net over F3 | [i] | ||
| 7 | Linear OOA(339, 51, F3, 2, 13) (dual of [(51, 2), 63, 14]-NRT-code) | [i] | OOA Folding | |