Information on Result #610821
Linear OA(342, 84, F3, 20) (dual of [84, 42, 21]-code), using extended quadratic residue code Qe(84,3)
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(342, 84, F3, 19) (dual of [84, 42, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(342, 84, F3, 18) (dual of [84, 42, 19]-code) | [i] | ||
| 3 | Linear OA(342, 84, F3, 17) (dual of [84, 42, 18]-code) | [i] | ||
| 4 | Linear OA(343, 85, F3, 20) (dual of [85, 42, 21]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(344, 86, F3, 20) (dual of [86, 42, 21]-code) | [i] | ||
| 6 | Linear OA(345, 87, F3, 20) (dual of [87, 42, 21]-code) | [i] | ||
| 7 | Linear OA(346, 88, F3, 20) (dual of [88, 42, 21]-code) | [i] | ||
| 8 | Linear OA(347, 89, F3, 20) (dual of [89, 42, 21]-code) | [i] | ||
| 9 | Linear OA(348, 90, F3, 20) (dual of [90, 42, 21]-code) | [i] | ||
| 10 | Linear OA(349, 91, F3, 20) (dual of [91, 42, 21]-code) | [i] | ||
| 11 | Linear OA(350, 92, F3, 20) (dual of [92, 42, 21]-code) | [i] | ||
| 12 | Linear OA(351, 93, F3, 20) (dual of [93, 42, 21]-code) | [i] | ||
| 13 | Linear OA(341, 83, F3, 19) (dual of [83, 42, 20]-code) | [i] | Truncation | |
| 14 | Linear OA(340, 82, F3, 18) (dual of [82, 42, 19]-code) | [i] | ||
| 15 | Linear OA(339, 81, F3, 17) (dual of [81, 42, 18]-code) | [i] | ||
| 16 | Linear OA(338, 80, F3, 16) (dual of [80, 42, 17]-code) | [i] | ||
| 17 | Linear OA(337, 79, F3, 15) (dual of [79, 42, 16]-code) | [i] | ||
| 18 | Linear OA(3112, 140, F3, 41) (dual of [140, 28, 42]-code) | [i] | Repeating Each Code Word | |
| 19 | Linear OA(3111, 138, F3, 41) (dual of [138, 27, 42]-code) | [i] | ||
| 20 | Linear OA(352, 95, F3, 20) (dual of [95, 43, 21]-code) | [i] | (u, u+v)-Construction | |
| 21 | Linear OA(352, 99, F3, 20) (dual of [99, 47, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 22 | Linear OA(353, 102, F3, 20) (dual of [102, 49, 21]-code) | [i] | ||
| 23 | Linear OA(354, 105, F3, 20) (dual of [105, 51, 21]-code) | [i] | ||
| 24 | Linear OA(347, 90, F3, 20) (dual of [90, 43, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 25 | Linear OA(349, 93, F3, 20) (dual of [93, 44, 21]-code) | [i] | ||
| 26 | Linear OA(350, 95, F3, 20) (dual of [95, 45, 21]-code) | [i] | ||
| 27 | Linear OA(351, 97, F3, 20) (dual of [97, 46, 21]-code) | [i] | ||
| 28 | Linear OA(353, 100, F3, 20) (dual of [100, 47, 21]-code) | [i] | ||
| 29 | Linear OA(354, 102, F3, 20) (dual of [102, 48, 21]-code) | [i] | ||
| 30 | Linear OOA(342, 42, F3, 2, 20) (dual of [(42, 2), 42, 21]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(342, 28, F3, 3, 20) (dual of [(28, 3), 42, 21]-NRT-code) | [i] | ||
| 32 | Linear OOA(342, 21, F3, 4, 20) (dual of [(21, 4), 42, 21]-NRT-code) | [i] | ||