Information on Result #677799
Linear OA(331, 92, F3, 11) (dual of [92, 61, 12]-code), using construction XX applied to Ce(10) ⊂ Ce(7) ⊂ Ce(6) based on
- linear OA(327, 81, F3, 11) (dual of [81, 54, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(321, 81, F3, 8) (dual of [81, 60, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(33, 10, F3, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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 OOA(331, 74, F3, 2, 11) (dual of [(74, 2), 117, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(331, 74, F3, 3, 11) (dual of [(74, 3), 191, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(331, 74, F3, 4, 11) (dual of [(74, 4), 265, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(331, 74, F3, 5, 11) (dual of [(74, 5), 339, 12]-NRT-code) | [i] | ||
| 5 | Digital (20, 31, 74)-net over F3 | [i] | ||
| 6 | Linear OOA(331, 46, F3, 2, 11) (dual of [(46, 2), 61, 12]-NRT-code) | [i] | OOA Folding | |