Information on Result #610816

Linear OA(324, 48, F3, 14) (dual of [48, 24, 15]-code), using extended quadratic residue code Qe(48,3)

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:

ResultThis
result
only
Method
1Linear OA(324, 48, F3, 13) (dual of [48, 24, 14]-code) [i]Strength Reduction
2Linear OA(324, 48, F3, 12) (dual of [48, 24, 13]-code) [i]
3Linear OA(325, 49, F3, 14) (dual of [49, 24, 15]-code) [i]Code Embedding in Larger Space
4Linear OA(326, 50, F3, 14) (dual of [50, 24, 15]-code) [i]
5Linear OA(323, 47, F3, 13) (dual of [47, 24, 14]-code) [i]Truncation
6Linear OA(322, 46, F3, 12) (dual of [46, 24, 13]-code) [i]
7Linear OA(321, 45, F3, 11) (dual of [45, 24, 12]-code) [i]
8Linear OA(320, 44, F3, 10) (dual of [44, 24, 11]-code) [i]
9Linear OA(319, 43, F3, 9) (dual of [43, 24, 10]-code) [i]
10Linear OA(318, 42, F3, 8) (dual of [42, 24, 9]-code) [i]
11Linear OA(372, 96, F3, 29) (dual of [96, 24, 30]-code) [i]Repeating Each Code Word
12Linear OA(371, 94, F3, 29) (dual of [94, 23, 30]-code) [i]
13Linear OA(3118, 141, F3, 44) (dual of [141, 23, 45]-code) [i]
14Linear OA(370, 92, F3, 29) (dual of [92, 22, 30]-code) [i]
15Linear OA(3116, 138, F3, 44) (dual of [138, 22, 45]-code) [i]
16Linear OA(369, 90, F3, 29) (dual of [90, 21, 30]-code) [i]
17Linear OA(3114, 135, F3, 44) (dual of [135, 21, 45]-code) [i]
18Linear OA(368, 88, F3, 29) (dual of [88, 20, 30]-code) [i]
19Linear OA(3112, 132, F3, 44) (dual of [132, 20, 45]-code) [i]
20Linear OA(367, 86, F3, 29) (dual of [86, 19, 30]-code) [i]
21Linear OA(3110, 129, F3, 44) (dual of [129, 19, 45]-code) [i]
22Linear OA(366, 84, F3, 29) (dual of [84, 18, 30]-code) [i]
23Linear OA(3108, 126, F3, 44) (dual of [126, 18, 45]-code) [i]
24Linear OA(3106, 123, F3, 44) (dual of [123, 17, 45]-code) [i]
25Linear OA(339, 89, F3, 14) (dual of [89, 50, 15]-code) [i](u, u+v)-Construction
26Linear OA(341, 96, F3, 14) (dual of [96, 55, 15]-code) [i]
27Linear OA(343, 96, F3, 14) (dual of [96, 53, 15]-code) [i](u, u−v, u+v+w)-Construction
28Linear OA(323, 32, F3, 14) (dual of [32, 9, 15]-code) [i]Construction Y1
29Linear OOA(324, 24, F3, 2, 14) (dual of [(24, 2), 24, 15]-NRT-code) [i]OOA Folding
30Linear OOA(324, 16, F3, 3, 14) (dual of [(16, 3), 24, 15]-NRT-code) [i]
31Linear OOA(324, 12, F3, 4, 14) (dual of [(12, 4), 24, 15]-NRT-code) [i]