Information on Result #693307

Linear OA(2579, 15626, F25, 27) (dual of [15626, 15547, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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 OOA(2579, 9737, F25, 2, 27) (dual of [(9737, 2), 19395, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (52, 79, 9737)-net over F25 [i]
3Linear OA(2586, 15633, F25, 29) (dual of [15633, 15547, 30]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(2580, 15633, F25, 27) (dual of [15633, 15553, 28]-code) [i]✔
5Linear OA(2594, 15641, F25, 31) (dual of [15641, 15547, 32]-code) [i]✔
6Linear OA(2582, 15641, F25, 27) (dual of [15641, 15559, 28]-code) [i]✔
7Linear OA(25102, 15649, F25, 33) (dual of [15649, 15547, 34]-code) [i]✔
8Linear OA(2584, 15649, F25, 27) (dual of [15649, 15565, 28]-code) [i]✔
9Linear OA(25110, 15652, F25, 35) (dual of [15652, 15542, 36]-code) [i]✔
10Linear OA(25109, 15652, F25, 34) (dual of [15652, 15543, 35]-code) [i]✔
11Linear OA(25110, 15655, F25, 34) (dual of [15655, 15545, 35]-code) [i]✔
12Linear OA(2586, 15652, F25, 27) (dual of [15652, 15566, 28]-code) [i]✔
13Linear OA(2587, 15655, F25, 27) (dual of [15655, 15568, 28]-code) [i]✔
14Linear OA(2588, 15657, F25, 27) (dual of [15657, 15569, 28]-code) [i]✔
15Linear OA(2589, 15660, F25, 27) (dual of [15660, 15571, 28]-code) [i]✔
16Linear OA(2585, 15652, F25, 26) (dual of [15652, 15567, 27]-code) [i]✔
17Linear OA(2586, 15655, F25, 26) (dual of [15655, 15569, 27]-code) [i]✔
18Linear OA(2587, 15657, F25, 26) (dual of [15657, 15570, 27]-code) [i]✔
19Linear OA(2591, 15668, F25, 27) (dual of [15668, 15577, 28]-code) [i]✔