Information on Result #618521

Linear OA(4921, 2402, F49, 11) (dual of [2402, 2381, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(742, 4804, F7, 11) (dual of [4804, 4762, 12]-code) [i]Trace Code
2Linear OA(4926, 2452, F49, 11) (dual of [2452, 2426, 12]-code) [i](u, u+v)-Construction
3Linear OA(4927, 2455, F49, 11) (dual of [2455, 2428, 12]-code) [i]
4Linear OA(4928, 4755, F49, 11) (dual of [4755, 4727, 12]-code) [i]
5Linear OA(4929, 2502, F49, 11) (dual of [2502, 2473, 12]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(4926, 2408, F49, 11) (dual of [2408, 2382, 12]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(4926, 2407, F49, 13) (dual of [2407, 2381, 14]-code) [i]✔
8Linear OA(4922, 2407, F49, 11) (dual of [2407, 2385, 12]-code) [i]✔
9Linear OA(4932, 2413, F49, 15) (dual of [2413, 2381, 16]-code) [i]✔
10Linear OA(4924, 2413, F49, 11) (dual of [2413, 2389, 12]-code) [i]✔
11Linear OA(4938, 2419, F49, 17) (dual of [2419, 2381, 18]-code) [i]✔
12Linear OA(4944, 2425, F49, 19) (dual of [2425, 2381, 20]-code) [i]✔
13Linear OA(4950, 2431, F49, 21) (dual of [2431, 2381, 22]-code) [i]✔
14Linear OOA(4921, 1201, F49, 2, 11) (dual of [(1201, 2), 2381, 12]-NRT-code) [i]OOA Folding