Information on Result #610405
Linear OA(3179, 182, F3, 125) (dual of [182, 3, 126]-code), using repeating each code word 14 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(3179, 182, F3, 124) (dual of [182, 3, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3179, 182, F3, 123) (dual of [182, 3, 124]-code) | [i] | ||
| 3 | Linear OA(3180, 183, F3, 125) (dual of [183, 3, 126]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3178, 181, F3, 124) (dual of [181, 3, 125]-code) | [i] | Truncation | |
| 5 | Linear OA(3177, 180, F3, 123) (dual of [180, 3, 124]-code) | [i] | ||
| 6 | Linear OA(3176, 179, F3, 122) (dual of [179, 3, 123]-code) | [i] | ||
| 7 | Linear OA(3174, 177, F3, 120) (dual of [177, 3, 121]-code) | [i] | ||
| 8 | Linear OA(3173, 176, F3, 119) (dual of [176, 3, 120]-code) | [i] | ||
| 9 | Linear OA(3172, 175, F3, 118) (dual of [175, 3, 119]-code) | [i] | ||
| 10 | Linear OOA(3179, 91, F3, 2, 125) (dual of [(91, 2), 3, 126]-NRT-code) | [i] | OOA Folding | |