Information on Result #736629
Linear OA(3101, 121, F3, 56) (dual of [121, 20, 57]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva
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(3101, 121, F3, 55) (dual of [121, 20, 56]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3101, 121, F3, 54) (dual of [121, 20, 55]-code) | [i] | ||
| 3 | Linear OA(3101, 121, F3, 53) (dual of [121, 20, 54]-code) | [i] | ||
| 4 | Linear OA(3101, 121, F3, 52) (dual of [121, 20, 53]-code) | [i] | ||
| 5 | Linear OA(3101, 121, F3, 51) (dual of [121, 20, 52]-code) | [i] | ||
| 6 | Linear OA(3101, 121, F3, 50) (dual of [121, 20, 51]-code) | [i] | ||
| 7 | Linear OA(3101, 121, F3, 49) (dual of [121, 20, 50]-code) | [i] | ||
| 8 | Linear OA(3101, 121, F3, 48) (dual of [121, 20, 49]-code) | [i] | ||
| 9 | Linear OA(3102, 122, F3, 56) (dual of [122, 20, 57]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(3103, 123, F3, 56) (dual of [123, 20, 57]-code) | [i] | ||
| 11 | Linear OA(3104, 124, F3, 56) (dual of [124, 20, 57]-code) | [i] | ||
| 12 | Linear OA(3105, 125, F3, 56) (dual of [125, 20, 57]-code) | [i] | ||
| 13 | Linear OA(3106, 126, F3, 56) (dual of [126, 20, 57]-code) | [i] | ||
| 14 | Linear OA(3107, 127, F3, 56) (dual of [127, 20, 57]-code) | [i] | ||
| 15 | Linear OA(3108, 128, F3, 56) (dual of [128, 20, 57]-code) | [i] | ||
| 16 | Linear OA(3109, 129, F3, 56) (dual of [129, 20, 57]-code) | [i] | ||
| 17 | Linear OA(3110, 130, F3, 56) (dual of [130, 20, 57]-code) | [i] | ||
| 18 | Linear OA(3111, 131, F3, 56) (dual of [131, 20, 57]-code) | [i] | ||
| 19 | Linear OA(3112, 132, F3, 56) (dual of [132, 20, 57]-code) | [i] | ||
| 20 | Linear OA(3113, 133, F3, 56) (dual of [133, 20, 57]-code) | [i] | ||
| 21 | Linear OA(3100, 120, F3, 55) (dual of [120, 20, 56]-code) | [i] | Truncation | |
| 22 | Linear OA(399, 119, F3, 54) (dual of [119, 20, 55]-code) | [i] | ||
| 23 | Linear OA(398, 118, F3, 53) (dual of [118, 20, 54]-code) | [i] | ||
| 24 | Linear OA(397, 117, F3, 52) (dual of [117, 20, 53]-code) | [i] | ||
| 25 | Linear OA(396, 116, F3, 51) (dual of [116, 20, 52]-code) | [i] | ||
| 26 | Linear OA(395, 115, F3, 50) (dual of [115, 20, 51]-code) | [i] | ||
| 27 | Linear OA(394, 114, F3, 49) (dual of [114, 20, 50]-code) | [i] | ||
| 28 | Linear OA(393, 113, F3, 48) (dual of [113, 20, 49]-code) | [i] | ||
| 29 | Linear OA(391, 111, F3, 46) (dual of [111, 20, 47]-code) | [i] | ||
| 30 | Linear OA(390, 110, F3, 45) (dual of [110, 20, 46]-code) | [i] | ||
| 31 | Linear OA(389, 109, F3, 44) (dual of [109, 20, 45]-code) | [i] | ||
| 32 | Linear OA(387, 107, F3, 42) (dual of [107, 20, 43]-code) | [i] | ||
| 33 | Linear OA(3110, 131, F3, 56) (dual of [131, 21, 57]-code) | [i] | Construction X with Varšamov Bound | |
| 34 | Linear OA(3113, 135, F3, 56) (dual of [135, 22, 57]-code) | [i] | ||
| 35 | Linear OA(3114, 137, F3, 56) (dual of [137, 23, 57]-code) | [i] | ||
| 36 | Linear OA(3118, 142, F3, 56) (dual of [142, 24, 57]-code) | [i] | ||
| 37 | Linear OA(3119, 144, F3, 56) (dual of [144, 25, 57]-code) | [i] | ||
| 38 | Linear OA(3117, 142, F3, 55) (dual of [142, 25, 56]-code) | [i] | ||
| 39 | Linear OOA(3101, 60, F3, 2, 56) (dual of [(60, 2), 19, 57]-NRT-code) | [i] | OOA Folding | |
| 40 | Linear OOA(3101, 40, F3, 3, 56) (dual of [(40, 3), 19, 57]-NRT-code) | [i] | ||
| 41 | Linear OOA(3101, 24, F3, 5, 56) (dual of [(24, 5), 19, 57]-NRT-code) | [i] | ||