Information on Result #613640

Linear OA(549, 15626, F5, 11) (dual of [15626, 15577, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, 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(548, 15625, F5, 10) (dual of [15625, 15577, 11]-code) [i]Truncation
2Linear OA(555, 15638, F5, 11) (dual of [15638, 15583, 12]-code) [i](u, u+v)-Construction
3Linear OA(556, 15647, F5, 11) (dual of [15647, 15591, 12]-code) [i]
4Linear OA(554, 15632, F5, 11) (dual of [15632, 15578, 12]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(562, 15639, F5, 13) (dual of [15639, 15577, 14]-code) [i]✔
6Linear OA(552, 15632, F5, 11) (dual of [15632, 15580, 12]-code) [i]✔
7Linear OA(553, 15642, F5, 11) (dual of [15642, 15589, 12]-code) [i]✔
8Linear OA(551, 15632, F5, 10) (dual of [15632, 15581, 11]-code) [i]✔
9Linear OA(577, 15652, F5, 15) (dual of [15652, 15575, 16]-code) [i]✔
10Linear OA(578, 15655, F5, 15) (dual of [15655, 15577, 16]-code) [i]✔
11Linear OA(576, 15653, F5, 14) (dual of [15653, 15577, 15]-code) [i]✔
12Linear OA(556, 15654, F5, 11) (dual of [15654, 15598, 12]-code) [i]✔
13Linear OA(555, 15656, F5, 10) (dual of [15656, 15601, 11]-code) [i]✔
14Linear OA(562, 15640, F5, 13) (dual of [15640, 15578, 14]-code) [i]✔Construction X4 with Cyclic Codes
15Linear OOA(549, 7813, F5, 2, 11) (dual of [(7813, 2), 15577, 12]-NRT-code) [i]OOA Folding
16Linear OOA(549, 3125, F5, 11, 11) (dual of [(3125, 11), 34326, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row