Information on Result #700753

Linear OA(331, 80, F3, 13) (dual of [80, 49, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 14

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(3248, 809, F3, 57) (dual of [809, 561, 58]-code) [i]Construction X with Cyclic Codes
2Linear OA(3242, 807, F3, 55) (dual of [807, 565, 56]-code) [i]
3Linear OA(336, 89, F3, 14) (dual of [89, 53, 15]-code) [i]Construction XX with Cyclic Codes
4Linear OA(345, 100, F3, 16) (dual of [100, 55, 17]-code) [i]
5Linear OA(343, 96, F3, 16) (dual of [96, 53, 17]-code) [i]
6Linear OA(341, 94, F3, 15) (dual of [94, 53, 16]-code) [i]
7Linear OA(339, 88, F3, 15) (dual of [88, 49, 16]-code) [i]
8Linear OA(346, 95, F3, 17) (dual of [95, 49, 18]-code) [i]
9Linear OA(351, 100, F3, 18) (dual of [100, 49, 19]-code) [i]
10Linear OA(3248, 805, F3, 58) (dual of [805, 557, 59]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
11Linear OOA(331, 40, F3, 2, 13) (dual of [(40, 2), 49, 14]-NRT-code) [i]OOA Folding