Information on Result #700857
Linear OA(335, 126, F3, 11) (dual of [126, 91, 12]-code), using construction X applied to C({2,4,7,11,13,17,25}) ⊂ C({2,4,7,11,17,25}) based on
- linear OA(335, 121, F3, 11) (dual of [121, 86, 12]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {2,4,7,11,13,17,25}, and minimum distance d ≥ |{13,32,51,…,−39}|+1 = 12 (BCH-bound) [i]
- linear OA(330, 121, F3, 10) (dual of [121, 91, 11]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {2,4,7,11,17,25}, and minimum distance d ≥ |{32,51,70,…,−39}|+1 = 11 (BCH-bound) [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 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 OOA(335, 125, F3, 2, 11) (dual of [(125, 2), 215, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(335, 125, F3, 3, 11) (dual of [(125, 3), 340, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(335, 125, F3, 4, 11) (dual of [(125, 4), 465, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(335, 125, F3, 5, 11) (dual of [(125, 5), 590, 12]-NRT-code) | [i] | ||
| 5 | Digital (24, 35, 125)-net over F3 | [i] | ||
| 6 | Linear OOA(335, 63, F3, 2, 11) (dual of [(63, 2), 91, 12]-NRT-code) | [i] | OOA Folding | |