Information on Result #612317

Linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3236, 3280, F3, 45) (dual of [3280, 3044, 46]-code) [i]Truncation
2Linear OOA(3237, 3085, F3, 2, 46) (dual of [(3085, 2), 5933, 47]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3237, 3085, F3, 3, 46) (dual of [(3085, 3), 9018, 47]-NRT-code) [i]
4Linear OOA(3237, 3085, F3, 4, 46) (dual of [(3085, 4), 12103, 47]-NRT-code) [i]
5Linear OOA(3237, 3085, F3, 5, 46) (dual of [(3085, 5), 15188, 47]-NRT-code) [i]
6Digital (191, 237, 3085)-net over F3 [i]
7Linear OA(3245, 3289, F3, 47) (dual of [3289, 3044, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3238, 3290, F3, 46) (dual of [3290, 3052, 47]-code) [i]✔
9Linear OA(3238, 3298, F3, 45) (dual of [3298, 3060, 46]-code) [i]✔
10Linear OA(3240, 3294, F3, 46) (dual of [3294, 3054, 47]-code) [i]✔
11Linear OA(3247, 3292, F3, 47) (dual of [3292, 3045, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(3239, 3292, F3, 46) (dual of [3292, 3053, 47]-code) [i]✔
13Linear OOA(3237, 1640, F3, 2, 46) (dual of [(1640, 2), 3043, 47]-NRT-code) [i]OOA Folding
14Linear OOA(3237, 1093, F3, 3, 46) (dual of [(1093, 3), 3042, 47]-NRT-code) [i]
15Linear OOA(3237, 820, F3, 4, 46) (dual of [(820, 4), 3043, 47]-NRT-code) [i]
16Linear OOA(3237, 656, F3, 5, 46) (dual of [(656, 5), 3043, 47]-NRT-code) [i]