Information on Result #622003
Linear OA(3115, 126, F3, 71) (dual of [126, 11, 72]-code), using construction X applied to C1 ⊂ D1 based on
- 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(3110, 121, F3, 66) (dual of [121, 11, 67]-code), using augmented code D1 for u = 5 by de Boer and Brouwer [i]
- linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
- dual of repetition code with length 5 [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 OA(3115, 126, F3, 70) (dual of [126, 11, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3115, 126, F3, 69) (dual of [126, 11, 70]-code) | [i] | ||
| 3 | Linear OA(3115, 126, F3, 68) (dual of [126, 11, 69]-code) | [i] | ||
| 4 | Linear OA(3115, 126, F3, 67) (dual of [126, 11, 68]-code) | [i] | ||
| 5 | Linear OA(3116, 127, F3, 71) (dual of [127, 11, 72]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(3117, 128, F3, 71) (dual of [128, 11, 72]-code) | [i] | ||
| 7 | Linear OA(3118, 129, F3, 71) (dual of [129, 11, 72]-code) | [i] | ||
| 8 | Linear OA(3114, 125, F3, 70) (dual of [125, 11, 71]-code) | [i] | Truncation | |
| 9 | Linear OA(3113, 124, F3, 69) (dual of [124, 11, 70]-code) | [i] | ||
| 10 | Linear OA(3111, 122, F3, 67) (dual of [122, 11, 68]-code) | [i] | ||
| 11 | Linear OA(3109, 120, F3, 65) (dual of [120, 11, 66]-code) | [i] | ||
| 12 | Linear OA(3108, 119, F3, 64) (dual of [119, 11, 65]-code) | [i] | ||
| 13 | Linear OA(3107, 118, F3, 63) (dual of [118, 11, 64]-code) | [i] | ||
| 14 | Linear OOA(3115, 63, F3, 2, 71) (dual of [(63, 2), 11, 72]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(3115, 42, F3, 3, 71) (dual of [(42, 3), 11, 72]-NRT-code) | [i] | ||
| 16 | Linear OOA(3115, 25, F3, 5, 71) (dual of [(25, 5), 10, 72]-NRT-code) | [i] | ||