Information on Result #610417
Linear OA(3127, 130, F3, 89) (dual of [130, 3, 90]-code), using repeating each code word 10 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(3127, 130, F3, 88) (dual of [130, 3, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3127, 130, F3, 87) (dual of [130, 3, 88]-code) | [i] | ||
| 3 | Linear OA(3128, 131, F3, 89) (dual of [131, 3, 90]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3126, 129, F3, 88) (dual of [129, 3, 89]-code) | [i] | Truncation | |
| 5 | Linear OA(3125, 128, F3, 87) (dual of [128, 3, 88]-code) | [i] | ||
| 6 | Linear OA(3124, 127, F3, 86) (dual of [127, 3, 87]-code) | [i] | ||
| 7 | Linear OA(3122, 125, F3, 84) (dual of [125, 3, 85]-code) | [i] | ||
| 8 | Linear OA(3121, 124, F3, 83) (dual of [124, 3, 84]-code) | [i] | ||
| 9 | Linear OA(3120, 123, F3, 82) (dual of [123, 3, 83]-code) | [i] | ||
| 10 | Linear OOA(3127, 65, F3, 2, 89) (dual of [(65, 2), 3, 90]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3127, 26, F3, 5, 89) (dual of [(26, 5), 3, 90]-NRT-code) | [i] | ||