Information on Result #712348

Linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(5127, 632, F5, 40) (dual of [632, 505, 41]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(5149, 662, F5, 44) (dual of [662, 513, 45]-code) [i]✔
3Linear OA(5148, 659, F5, 44) (dual of [659, 511, 45]-code) [i]✔
4Linear OA(5147, 656, F5, 44) (dual of [656, 509, 45]-code) [i]✔
5Linear OA(5146, 653, F5, 44) (dual of [653, 507, 45]-code) [i]✔
6Linear OA(5145, 648, F5, 44) (dual of [648, 503, 45]-code) [i]✔
7Linear OA(5137, 638, F5, 43) (dual of [638, 501, 44]-code) [i]✔
8Linear OA(5148, 649, F5, 45) (dual of [649, 501, 46]-code) [i]✔
9Linear OA(5150, 649, F5, 46) (dual of [649, 499, 47]-code) [i]✔