Information on Result #610792

Linear OA(36, 14, F3, 4) (dual of [14, 8, 5]-code), using ternary negacyclic codes with minimum distance 5

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:

ResultThis
result
only
Method
1Linear OA(387, 94, F3, 55) (dual of [94, 7, 56]-code) [i]Juxtaposition
2Linear OA(3168, 175, F3, 106) (dual of [175, 7, 107]-code) [i]
3Linear OA(3174, 181, F3, 112) (dual of [181, 7, 113]-code) [i]
4Linear OA(3131, 138, F3, 82) (dual of [138, 7, 83]-code) [i]
5Linear OA(3223, 744, F3, 56) (dual of [744, 521, 57]-code) [i]Construction X with Cyclic Codes
6Linear OA(3115, 379, F3, 30) (dual of [379, 264, 31]-code) [i]
7Linear OA(380, 94, F3, 46) (dual of [94, 14, 47]-code) [i]
8Linear OA(379, 94, F3, 45) (dual of [94, 15, 46]-code) [i]
9Linear OA(362, 135, F3, 20) (dual of [135, 73, 21]-code) [i]
10Linear OA(366, 135, F3, 22) (dual of [135, 69, 23]-code) [i]
11Linear OA(3115, 378, F3, 31) (dual of [378, 263, 32]-code) [i]
12Linear OA(380, 95, F3, 46) (dual of [95, 15, 47]-code) [i]Construction XX with Cyclic Codes
13Linear OA(367, 141, F3, 22) (dual of [141, 74, 23]-code) [i]
14Linear OA(3112, 272, F3, 33) (dual of [272, 160, 34]-code) [i]
15Linear OA(3125, 284, F3, 36) (dual of [284, 159, 37]-code) [i]
16Linear OA(3128, 263, F3, 41) (dual of [263, 135, 42]-code) [i]
17Linear OA(3127, 261, F3, 41) (dual of [261, 134, 42]-code) [i]
18Linear OA(3133, 267, F3, 42) (dual of [267, 134, 43]-code) [i]
19Linear OA(3148, 262, F3, 49) (dual of [262, 114, 50]-code) [i]
20Linear OA(3250, 278, F3, 135) (dual of [278, 28, 136]-code) [i]
21Linear OA(3250, 278, F3, 136) (dual of [278, 28, 137]-code) [i]
22Linear OA(3244, 267, F3, 136) (dual of [267, 23, 137]-code) [i]
23Linear OA(3116, 382, F3, 31) (dual of [382, 266, 32]-code) [i]
24Linear OA(3121, 384, F3, 32) (dual of [384, 263, 33]-code) [i]
25Linear OA(3128, 391, F3, 33) (dual of [391, 263, 34]-code) [i]
26Linear OA(3230, 750, F3, 59) (dual of [750, 520, 60]-code) [i]
27Linear OA(3229, 748, F3, 59) (dual of [748, 519, 60]-code) [i]
28Linear OA(3236, 755, F3, 60) (dual of [755, 519, 61]-code) [i]
29Linear OA(3196, 1108, F3, 43) (dual of [1108, 912, 44]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
30Linear OA(3223, 743, F3, 58) (dual of [743, 520, 59]-code) [i]
31Linear OA(3238, 257, F3, 136) (dual of [257, 19, 137]-code) [i]
32Linear OA(3228, 257, F3, 127) (dual of [257, 29, 128]-code) [i]
33Linear OA(3147, 257, F3, 49) (dual of [257, 110, 50]-code) [i]
34Linear OA(3122, 257, F3, 40) (dual of [257, 135, 41]-code) [i]
35Linear OA(397, 257, F3, 30) (dual of [257, 160, 31]-code) [i]
36Linear OA(337, 95, F3, 13) (dual of [95, 58, 14]-code) [i]
37Linear OA(3131, 145, F3, 72) (dual of [145, 14, 73]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
38Linear OOA(36, 7, F3, 2, 4) (dual of [(7, 2), 8, 5]-NRT-code) [i]OOA Folding