Information on Result #738080
Linear OA(3166, 176, F3, 101) (dual of [176, 10, 102]-code), using concatenation of two codes based on
- linear OA(939, 44, F9, 33) (dual of [44, 5, 34]-code), using
- 4 times truncation [i] based on linear OA(943, 48, F9, 37) (dual of [48, 5, 38]-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(3166, 176, F3, 100) (dual of [176, 10, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3165, 175, F3, 100) (dual of [175, 10, 101]-code) | [i] | Truncation | |
| 3 | Linear OA(3164, 174, F3, 99) (dual of [174, 10, 100]-code) | [i] | ||
| 4 | Linear OA(3163, 173, F3, 98) (dual of [173, 10, 99]-code) | [i] | ||
| 5 | Linear OA(3162, 172, F3, 97) (dual of [172, 10, 98]-code) | [i] | ||
| 6 | Linear OA(3161, 171, F3, 96) (dual of [171, 10, 97]-code) | [i] | ||
| 7 | Linear OOA(3166, 88, F3, 2, 101) (dual of [(88, 2), 10, 102]-NRT-code) | [i] | OOA Folding | |