Information on Result #700699
Linear OA(378, 80, F3, 59) (dual of [80, 2, 60]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}, and minimum distance d ≥ |{3,16,29,…,37}|+1 = 60 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
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 OA(384, 91, F3, 55) (dual of [91, 7, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(384, 90, F3, 56) (dual of [90, 6, 57]-code) | [i] | ✔ | |
| 18 | Linear OA(394, 110, F3, 52) (dual of [110, 16, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 19 | Linear OA(391, 106, F3, 51) (dual of [106, 15, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(394, 109, F3, 53) (dual of [109, 15, 54]-code) | [i] | ✔ | |
| 21 | Linear OA(393, 107, F3, 53) (dual of [107, 14, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(391, 105, F3, 52) (dual of [105, 14, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(394, 105, F3, 55) (dual of [105, 11, 56]-code) | [i] | ✔ | |
| 24 | Linear OA(392, 103, F3, 54) (dual of [103, 11, 55]-code) | [i] | ✔ | |
| 25 | Linear OA(385, 96, F3, 51) (dual of [96, 11, 52]-code) | [i] | ✔ | |
| 26 | Linear OA(391, 101, F3, 54) (dual of [101, 10, 55]-code) | [i] | ✔ | |
| 27 | Linear OA(389, 97, F3, 54) (dual of [97, 8, 55]-code) | [i] | ✔ | |
| 28 | Linear OA(387, 97, F3, 53) (dual of [97, 10, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(385, 95, F3, 52) (dual of [95, 10, 53]-code) | [i] | ✔ | |
| 30 | Linear OA(392, 101, F3, 55) (dual of [101, 9, 56]-code) | [i] | ✔ | |
| 31 | Linear OA(390, 99, F3, 54) (dual of [99, 9, 55]-code) | [i] | ✔ | |
| 32 | Linear OA(385, 92, F3, 56) (dual of [92, 7, 57]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 33 | Linear OOA(378, 40, F3, 2, 59) (dual of [(40, 2), 2, 60]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(378, 16, F3, 5, 59) (dual of [(16, 5), 2, 60]-NRT-code) | [i] | ||