Information on Result #617099

Linear OA(25100, 15625, F25, 35) (dual of [15625, 15525, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(25100, 8553, F25, 2, 35) (dual of [(8553, 2), 17006, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (65, 100, 8553)-net over F25 [i]
3Linear OA(25103, 15628, F25, 36) (dual of [15628, 15525, 37]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(25100, 15628, F25, 35) (dual of [15628, 15528, 36]-code) [i]✔
5Linear OA(25107, 15632, F25, 37) (dual of [15632, 15525, 38]-code) [i]✔
6Linear OA(25101, 15632, F25, 35) (dual of [15632, 15531, 36]-code) [i]✔
7Linear OA(25102, 15636, F25, 35) (dual of [15636, 15534, 36]-code) [i]✔
8Linear OA(25103, 15640, F25, 35) (dual of [15640, 15537, 36]-code) [i]✔
9Linear OA(25104, 15644, F25, 35) (dual of [15644, 15540, 36]-code) [i]✔
10Linear OA(25105, 15648, F25, 35) (dual of [15648, 15543, 36]-code) [i]✔
11Linear OA(25106, 15651, F25, 35) (dual of [15651, 15545, 36]-code) [i]✔
12Linear OA(25107, 15653, F25, 35) (dual of [15653, 15546, 36]-code) [i]✔
13Linear OA(25109, 15656, F25, 35) (dual of [15656, 15547, 36]-code) [i]✔
14Linear OA(25110, 15659, F25, 35) (dual of [15659, 15549, 36]-code) [i]✔
15Linear OA(25108, 15657, F25, 35) (dual of [15657, 15549, 36]-code) [i]✔
16Linear OA(25108, 15655, F25, 35) (dual of [15655, 15547, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OOA(25100, 919, F25, 35, 35) (dual of [(919, 35), 32065, 36]-NRT-code) [i]OOA Folding and Stacking with Additional Row