Information on Result #610372
Linear OA(378, 80, F3, 59) (dual of [80, 2, 60]-code), using repeating each code word 20 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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(378, 80, F3, 58) (dual of [80, 2, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(378, 80, F3, 57) (dual of [80, 2, 58]-code) | [i] | ||
| 3 | Linear OA(378, 80, F3, 56) (dual of [80, 2, 57]-code) | [i] | ||
| 4 | Linear OA(378, 80, F3, 55) (dual of [80, 2, 56]-code) | [i] | ||
| 5 | Linear OA(377, 79, F3, 58) (dual of [79, 2, 59]-code) | [i] | Truncation | |
| 6 | Linear OA(376, 78, F3, 57) (dual of [78, 2, 58]-code) | [i] | ||
| 7 | Linear OA(375, 77, F3, 56) (dual of [77, 2, 57]-code) | [i] | ||
| 8 | Linear OA(373, 75, F3, 54) (dual of [75, 2, 55]-code) | [i] | ||
| 9 | Linear OA(372, 74, F3, 53) (dual of [74, 2, 54]-code) | [i] | ||
| 10 | Linear OA(371, 73, F3, 52) (dual of [73, 2, 53]-code) | [i] | ||
| 11 | Linear OA(369, 71, F3, 50) (dual of [71, 2, 51]-code) | [i] | ||
| 12 | Linear OA(368, 70, F3, 49) (dual of [70, 2, 50]-code) | [i] | ||
| 13 | Linear OA(367, 69, F3, 48) (dual of [69, 2, 49]-code) | [i] | ||
| 14 | Linear OA(365, 67, F3, 46) (dual of [67, 2, 47]-code) | [i] | ||
| 15 | Linear OA(364, 66, F3, 45) (dual of [66, 2, 46]-code) | [i] | ||
| 16 | Linear OOA(378, 40, F3, 2, 59) (dual of [(40, 2), 2, 60]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(378, 16, F3, 5, 59) (dual of [(16, 5), 2, 60]-NRT-code) | [i] | ||