Information on Result #610361
Linear OA(3122, 124, F3, 92) (dual of [124, 2, 93]-code), using repeating each code word 31 times based on 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(3122, 124, F3, 91) (dual of [124, 2, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3122, 124, F3, 90) (dual of [124, 2, 91]-code) | [i] | ||
| 3 | Linear OA(3122, 124, F3, 89) (dual of [124, 2, 90]-code) | [i] | ||
| 4 | Linear OA(3122, 124, F3, 88) (dual of [124, 2, 89]-code) | [i] | ||
| 5 | Linear OA(3122, 124, F3, 87) (dual of [124, 2, 88]-code) | [i] | ||
| 6 | Linear OA(3122, 124, F3, 86) (dual of [124, 2, 87]-code) | [i] | ||
| 7 | Linear OA(3121, 123, F3, 91) (dual of [123, 2, 92]-code) | [i] | Truncation | |
| 8 | Linear OA(3120, 122, F3, 90) (dual of [122, 2, 91]-code) | [i] | ||
| 9 | Linear OA(3119, 121, F3, 89) (dual of [121, 2, 90]-code) | [i] | ||
| 10 | Linear OA(3117, 119, F3, 87) (dual of [119, 2, 88]-code) | [i] | ||
| 11 | Linear OA(3116, 118, F3, 86) (dual of [118, 2, 87]-code) | [i] | ||
| 12 | Linear OA(3115, 117, F3, 85) (dual of [117, 2, 86]-code) | [i] | ||
| 13 | Linear OA(3113, 115, F3, 83) (dual of [115, 2, 84]-code) | [i] | ||
| 14 | Linear OA(3112, 114, F3, 82) (dual of [114, 2, 83]-code) | [i] | ||
| 15 | Linear OA(3111, 113, F3, 81) (dual of [113, 2, 82]-code) | [i] | ||
| 16 | Linear OA(3109, 111, F3, 79) (dual of [111, 2, 80]-code) | [i] | ||
| 17 | Linear OA(3108, 110, F3, 78) (dual of [110, 2, 79]-code) | [i] | ||
| 18 | Linear OA(3107, 109, F3, 77) (dual of [109, 2, 78]-code) | [i] | ||
| 19 | Linear OA(3105, 107, F3, 75) (dual of [107, 2, 76]-code) | [i] | ||
| 20 | Linear OA(3104, 106, F3, 74) (dual of [106, 2, 75]-code) | [i] | ||
| 21 | Linear OA(3103, 105, F3, 73) (dual of [105, 2, 74]-code) | [i] | ||
| 22 | Linear OOA(3122, 62, F3, 2, 92) (dual of [(62, 2), 2, 93]-NRT-code) | [i] | OOA Folding | |