Information on Result #611918

Linear OA(334, 40, F3, 23) (dual of [40, 6, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [0,21], and minimum distance d ≥ |{−1,0,…,21}|+1 = 24 (BCH-bound)

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(333, 39, F3, 22) (dual of [39, 6, 23]-code) [i]Truncation
2Linear OA(332, 38, F3, 21) (dual of [38, 6, 22]-code) [i]
3Linear OA(331, 37, F3, 20) (dual of [37, 6, 21]-code) [i]
4Linear OA(335, 42, F3, 23) (dual of [42, 7, 24]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(3113, 120, F3, 73) (dual of [120, 7, 74]-code) [i]
6Linear OA(338, 46, F3, 23) (dual of [46, 8, 24]-code) [i]✔
7Linear OA(336, 44, F3, 23) (dual of [44, 8, 24]-code) [i]✔Construction XX with Cyclic Codes
8Linear OA(3117, 124, F3, 76) (dual of [124, 7, 77]-code) [i]Construction XX with a Chain of Cyclic Codes
9Linear OA(337, 45, F3, 23) (dual of [45, 8, 24]-code) [i]✔
10Linear OA(3194, 201, F3, 124) (dual of [201, 7, 125]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
11Linear OA(3114, 121, F3, 74) (dual of [121, 7, 75]-code) [i]
12Linear OA(3118, 125, F3, 77) (dual of [125, 7, 78]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OOA(334, 20, F3, 2, 23) (dual of [(20, 2), 6, 24]-NRT-code) [i]OOA Folding
14Linear OOA(334, 13, F3, 3, 23) (dual of [(13, 3), 5, 24]-NRT-code) [i]
15Linear OOA(334, 10, F3, 4, 23) (dual of [(10, 4), 6, 24]-NRT-code) [i]