Information on Result #738082
Linear OA(3172, 180, F3, 110) (dual of [180, 8, 111]-code), using concatenation of two codes based on
- linear OA(941, 45, F9, 36) (dual of [45, 4, 37]-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(3172, 180, F3, 109) (dual of [180, 8, 110]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3172, 180, F3, 108) (dual of [180, 8, 109]-code) | [i] | ||
| 3 | Linear OA(3173, 181, F3, 110) (dual of [181, 8, 111]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3174, 182, F3, 110) (dual of [182, 8, 111]-code) | [i] | ||
| 5 | Linear OA(3175, 183, F3, 110) (dual of [183, 8, 111]-code) | [i] | ||
| 6 | Linear OA(3176, 184, F3, 110) (dual of [184, 8, 111]-code) | [i] | ||
| 7 | Linear OA(3171, 179, F3, 109) (dual of [179, 8, 110]-code) | [i] | Truncation | |
| 8 | Linear OA(3170, 178, F3, 108) (dual of [178, 8, 109]-code) | [i] | ||
| 9 | Linear OOA(3172, 90, F3, 2, 110) (dual of [(90, 2), 8, 111]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3172, 60, F3, 3, 110) (dual of [(60, 3), 8, 111]-NRT-code) | [i] | ||
| 11 | Linear OOA(3172, 36, F3, 5, 110) (dual of [(36, 5), 8, 111]-NRT-code) | [i] | ||