Information on Result #738423
Linear OA(3127, 137, F3, 80) (dual of [137, 10, 81]-code), using construction X applied to C2 ⊂ C1 based on
- linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using code C2 for u = 5 by de Boer and Brouwer [i]
- linear OA(3111, 121, F3, 71) (dual of [121, 10, 72]-code), using code C1 for u = 5 by de Boer and Brouwer [i]
- linear OA(311, 16, F3, 8) (dual of [16, 5, 9]-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(3127, 137, F3, 79) (dual of [137, 10, 80]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3127, 137, F3, 78) (dual of [137, 10, 79]-code) | [i] | ||
| 3 | Linear OA(3129, 139, F3, 80) (dual of [139, 10, 81]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3130, 140, F3, 80) (dual of [140, 10, 81]-code) | [i] | ||
| 5 | Linear OA(3126, 136, F3, 79) (dual of [136, 10, 80]-code) | [i] | Truncation | |
| 6 | Linear OA(3125, 135, F3, 78) (dual of [135, 10, 79]-code) | [i] | ||
| 7 | Linear OA(3124, 134, F3, 77) (dual of [134, 10, 78]-code) | [i] | ||
| 8 | Linear OA(3123, 133, F3, 76) (dual of [133, 10, 77]-code) | [i] | ||
| 9 | Linear OA(3121, 131, F3, 74) (dual of [131, 10, 75]-code) | [i] | ||
| 10 | Linear OA(3120, 130, F3, 73) (dual of [130, 10, 74]-code) | [i] | ||
| 11 | Linear OA(3119, 129, F3, 72) (dual of [129, 10, 73]-code) | [i] | ||