Information on Result #610414
Linear OA(3140, 143, F3, 98) (dual of [143, 3, 99]-code), using repeating each code word 11 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(3140, 143, F3, 97) (dual of [143, 3, 98]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3140, 143, F3, 96) (dual of [143, 3, 97]-code) | [i] | ||
| 3 | Linear OA(3141, 144, F3, 98) (dual of [144, 3, 99]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3139, 142, F3, 97) (dual of [142, 3, 98]-code) | [i] | Truncation | |
| 5 | Linear OA(3138, 141, F3, 96) (dual of [141, 3, 97]-code) | [i] | ||
| 6 | Linear OA(3137, 140, F3, 95) (dual of [140, 3, 96]-code) | [i] | ||
| 7 | Linear OA(3135, 138, F3, 93) (dual of [138, 3, 94]-code) | [i] | ||
| 8 | Linear OA(3134, 137, F3, 92) (dual of [137, 3, 93]-code) | [i] | ||
| 9 | Linear OA(3133, 136, F3, 91) (dual of [136, 3, 92]-code) | [i] | ||