Information on Result #610411
Linear OA(3153, 156, F3, 107) (dual of [156, 3, 108]-code), using repeating each code word 12 times based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [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(3153, 156, F3, 106) (dual of [156, 3, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3153, 156, F3, 105) (dual of [156, 3, 106]-code) | [i] | ||
| 3 | Linear OA(3154, 157, F3, 107) (dual of [157, 3, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3152, 155, F3, 106) (dual of [155, 3, 107]-code) | [i] | Truncation | |
| 5 | Linear OA(3151, 154, F3, 105) (dual of [154, 3, 106]-code) | [i] | ||
| 6 | Linear OA(3150, 153, F3, 104) (dual of [153, 3, 105]-code) | [i] | ||
| 7 | Linear OA(3148, 151, F3, 102) (dual of [151, 3, 103]-code) | [i] | ||
| 8 | Linear OA(3147, 150, F3, 101) (dual of [150, 3, 102]-code) | [i] | ||
| 9 | Linear OA(3146, 149, F3, 100) (dual of [149, 3, 101]-code) | [i] | ||
| 10 | Linear OOA(3153, 78, F3, 2, 107) (dual of [(78, 2), 3, 108]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3153, 52, F3, 3, 107) (dual of [(52, 3), 3, 108]-NRT-code) | [i] | ||