Information on Result #712329

Linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39

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(5129, 642, F5, 40) (dual of [642, 513, 41]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(5123, 632, F5, 39) (dual of [632, 509, 40]-code) [i]✔
3Linear OA(5146, 663, F5, 43) (dual of [663, 517, 44]-code) [i]✔
4Linear OA(5145, 660, F5, 43) (dual of [660, 515, 44]-code) [i]✔
5Linear OA(5128, 637, F5, 40) (dual of [637, 509, 41]-code) [i]✔
6Linear OA(5143, 656, F5, 43) (dual of [656, 513, 44]-code) [i]✔
7Linear OA(5142, 653, F5, 43) (dual of [653, 511, 44]-code) [i]✔
8Linear OA(5150, 663, F5, 44) (dual of [663, 513, 45]-code) [i]✔
9Linear OA(5149, 661, F5, 44) (dual of [661, 512, 45]-code) [i]✔
10Linear OA(5148, 657, F5, 44) (dual of [657, 509, 45]-code) [i]✔
11Linear OA(5147, 654, F5, 44) (dual of [654, 507, 45]-code) [i]✔
12Linear OA(5141, 648, F5, 43) (dual of [648, 507, 44]-code) [i]✔
13Linear OA(5146, 649, F5, 44) (dual of [649, 503, 45]-code) [i]✔
14Linear OA(5127, 632, F5, 40) (dual of [632, 505, 41]-code) [i]✔
15Linear OA(5145, 648, F5, 44) (dual of [648, 503, 45]-code) [i]✔
16Linear OA(5150, 655, F5, 45) (dual of [655, 505, 46]-code) [i]✔