Information on Result #613890

Linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(5140, 78124, F5, 25) (dual of [78124, 77984, 26]-code) [i]Truncation
2Linear OA(5148, 78132, F5, 27) (dual of [78132, 77984, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code) [i]✔
4Linear OA(5144, 78142, F5, 26) (dual of [78142, 77998, 27]-code) [i]✔
5Linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-code) [i]✔
6Linear OA(5149, 78161, F5, 26) (dual of [78161, 78012, 27]-code) [i]✔
7Linear OA(5147, 78155, F5, 26) (dual of [78155, 78008, 27]-code) [i]✔
8Linear OA(5148, 78160, F5, 26) (dual of [78160, 78012, 27]-code) [i]✔
9Linear OA(5150, 78169, F5, 25) (dual of [78169, 78019, 26]-code) [i]✔
10Linear OA(5150, 78135, F5, 27) (dual of [78135, 77985, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(5143, 78135, F5, 26) (dual of [78135, 77992, 27]-code) [i]✔
12Linear OA(5148, 78155, F5, 26) (dual of [78155, 78007, 27]-code) [i]✔
13Linear OA(5146, 78152, F5, 26) (dual of [78152, 78006, 27]-code) [i]✔
14Linear OOA(5141, 39062, F5, 2, 26) (dual of [(39062, 2), 77983, 27]-NRT-code) [i]OOA Folding
15Linear OOA(5141, 26041, F5, 3, 26) (dual of [(26041, 3), 77982, 27]-NRT-code) [i]
16Linear OOA(5141, 6009, F5, 26, 26) (dual of [(6009, 26), 156093, 27]-NRT-code) [i]OA Folding and Stacking