Information on Result #610817
Linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), using extended quadratic residue code Qe(60,3)
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(330, 60, F3, 16) (dual of [60, 30, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(330, 60, F3, 15) (dual of [60, 30, 16]-code) | [i] | ||
| 3 | Linear OA(330, 60, F3, 14) (dual of [60, 30, 15]-code) | [i] | ||
| 4 | Linear OA(330, 60, F3, 13) (dual of [60, 30, 14]-code) | [i] | ||
| 5 | Linear OA(331, 61, F3, 17) (dual of [61, 30, 18]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(332, 62, F3, 17) (dual of [62, 30, 18]-code) | [i] | ||
| 7 | Linear OA(333, 63, F3, 17) (dual of [63, 30, 18]-code) | [i] | ||
| 8 | Linear OA(334, 64, F3, 17) (dual of [64, 30, 18]-code) | [i] | ||
| 9 | Linear OA(335, 65, F3, 17) (dual of [65, 30, 18]-code) | [i] | ||
| 10 | Linear OA(329, 59, F3, 16) (dual of [59, 30, 17]-code) | [i] | Truncation | |
| 11 | Linear OA(328, 58, F3, 15) (dual of [58, 30, 16]-code) | [i] | ||
| 12 | Linear OA(327, 57, F3, 14) (dual of [57, 30, 15]-code) | [i] | ||
| 13 | Linear OA(326, 56, F3, 13) (dual of [56, 30, 14]-code) | [i] | ||
| 14 | Linear OA(325, 55, F3, 12) (dual of [55, 30, 13]-code) | [i] | ||
| 15 | Linear OA(324, 54, F3, 11) (dual of [54, 30, 12]-code) | [i] | ||
| 16 | Linear OA(323, 53, F3, 10) (dual of [53, 30, 11]-code) | [i] | ||
| 17 | Linear OA(322, 52, F3, 9) (dual of [52, 30, 10]-code) | [i] | ||
| 18 | Linear OA(3140, 165, F3, 53) (dual of [165, 25, 54]-code) | [i] | Repeating Each Code Word | |
| 19 | Linear OA(384, 108, F3, 35) (dual of [108, 24, 36]-code) | [i] | ||
| 20 | Linear OA(383, 106, F3, 35) (dual of [106, 23, 36]-code) | [i] | ||
| 21 | Linear OA(3136, 159, F3, 53) (dual of [159, 23, 54]-code) | [i] | ||
| 22 | Linear OA(382, 104, F3, 35) (dual of [104, 22, 36]-code) | [i] | ||
| 23 | Linear OA(3134, 156, F3, 53) (dual of [156, 22, 54]-code) | [i] | ||
| 24 | Linear OA(381, 102, F3, 35) (dual of [102, 21, 36]-code) | [i] | ||
| 25 | Linear OA(3132, 153, F3, 53) (dual of [153, 21, 54]-code) | [i] | ||
| 26 | Linear OA(380, 100, F3, 35) (dual of [100, 20, 36]-code) | [i] | ||
| 27 | Linear OA(379, 98, F3, 35) (dual of [98, 19, 36]-code) | [i] | ||
| 28 | Linear OA(378, 96, F3, 35) (dual of [96, 18, 36]-code) | [i] | ||
| 29 | Linear OA(377, 94, F3, 35) (dual of [94, 17, 36]-code) | [i] | ||
| 30 | Linear OA(382, 116, F3, 35) (dual of [116, 34, 36]-code) | [i] | (u, u+v)-Construction | |
| 31 | Linear OA(383, 118, F3, 35) (dual of [118, 35, 36]-code) | [i] | ||
| 32 | Linear OA(347, 96, F3, 17) (dual of [96, 49, 18]-code) | [i] | ||
| 33 | Linear OA(348, 102, F3, 17) (dual of [102, 54, 18]-code) | [i] | ||
| 34 | Linear OA(346, 89, F3, 17) (dual of [89, 43, 18]-code) | [i] | ||
| 35 | Linear OA(349, 108, F3, 17) (dual of [108, 59, 18]-code) | [i] | ||
| 36 | Linear OA(383, 120, F3, 35) (dual of [120, 37, 36]-code) | [i] | ||
| 37 | Linear OA(346, 100, F3, 17) (dual of [100, 54, 18]-code) | [i] | ||
| 38 | Linear OA(349, 120, F3, 17) (dual of [120, 71, 18]-code) | [i] | ||
| 39 | Linear OA(329, 40, F3, 17) (dual of [40, 11, 18]-code) | [i] | Construction Y1 | |
| 40 | Linear OOA(330, 30, F3, 2, 17) (dual of [(30, 2), 30, 18]-NRT-code) | [i] | OOA Folding | |
| 41 | Linear OOA(330, 20, F3, 3, 17) (dual of [(20, 3), 30, 18]-NRT-code) | [i] | ||
| 42 | Linear OOA(330, 15, F3, 4, 17) (dual of [(15, 4), 30, 18]-NRT-code) | [i] | ||
| 43 | Linear OOA(330, 12, F3, 5, 17) (dual of [(12, 5), 30, 18]-NRT-code) | [i] | ||