Information on Result #677590
Linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-code), using contraction based on linear OA(3144, 160, F3, 79) (dual of [160, 16, 80]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
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(364, 80, F3, 38) (dual of [80, 16, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(364, 80, F3, 37) (dual of [80, 16, 38]-code) | [i] | ||
| 3 | Linear OA(364, 80, F3, 36) (dual of [80, 16, 37]-code) | [i] | ||
| 4 | Linear OA(367, 83, F3, 39) (dual of [83, 16, 40]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3141, 154, F3, 79) (dual of [154, 13, 80]-code) | [i] | Repeating Each Code Word | |
| 6 | Linear OA(3140, 152, F3, 79) (dual of [152, 12, 80]-code) | [i] | ||
| 7 | Linear OA(3143, 160, F3, 79) (dual of [160, 17, 80]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(3149, 162, F3, 84) (dual of [162, 13, 85]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(373, 89, F3, 43) (dual of [89, 16, 44]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(390, 106, F3, 49) (dual of [106, 16, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(385, 101, F3, 48) (dual of [101, 16, 49]-code) | [i] | ✔ | |
| 12 | Linear OA(381, 97, F3, 45) (dual of [97, 16, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(375, 91, F3, 44) (dual of [91, 16, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(374, 90, F3, 44) (dual of [90, 16, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 15 | Linear OA(388, 104, F3, 49) (dual of [104, 16, 50]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OA(386, 102, F3, 49) (dual of [102, 16, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(382, 98, F3, 46) (dual of [98, 16, 47]-code) | [i] | ✔ | |
| 18 | Linear OA(379, 95, F3, 44) (dual of [95, 16, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(371, 87, F3, 42) (dual of [87, 16, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(391, 107, F3, 50) (dual of [107, 16, 51]-code) | [i] | ✔ | |
| 21 | Linear OA(389, 105, F3, 50) (dual of [105, 16, 51]-code) | [i] | ✔ | |
| 22 | Linear OA(3144, 160, F3, 80) (dual of [160, 16, 81]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 23 | Linear OA(374, 91, F3, 39) (dual of [91, 17, 40]-code) | [i] | Construction X with Varšamov Bound | |
| 24 | Linear OA(378, 96, F3, 39) (dual of [96, 18, 40]-code) | [i] | ||
| 25 | Linear OA(380, 99, F3, 39) (dual of [99, 19, 40]-code) | [i] | ||
| 26 | Linear OA(377, 96, F3, 38) (dual of [96, 19, 39]-code) | [i] | ||
| 27 | Linear OOA(364, 40, F3, 2, 39) (dual of [(40, 2), 16, 40]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(364, 26, F3, 3, 39) (dual of [(26, 3), 14, 40]-NRT-code) | [i] | ||
| 29 | Linear OOA(364, 20, F3, 4, 39) (dual of [(20, 4), 16, 40]-NRT-code) | [i] | ||