Information on Result #712292

Linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38

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(5119, 632, F5, 38) (dual of [632, 513, 39]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(5142, 663, F5, 42) (dual of [663, 521, 43]-code) [i]✔
3Linear OA(5141, 660, F5, 42) (dual of [660, 519, 43]-code) [i]✔
4Linear OA(5124, 637, F5, 39) (dual of [637, 513, 40]-code) [i]✔
5Linear OA(5149, 670, F5, 43) (dual of [670, 521, 44]-code) [i]✔
6Linear OA(5148, 668, F5, 43) (dual of [668, 520, 44]-code) [i]✔
7Linear OA(5140, 655, F5, 42) (dual of [655, 515, 43]-code) [i]✔
8Linear OA(5130, 643, F5, 40) (dual of [643, 513, 41]-code) [i]✔
9Linear OA(5138, 651, F5, 42) (dual of [651, 513, 43]-code) [i]✔
10Linear OA(5137, 648, F5, 42) (dual of [648, 511, 43]-code) [i]✔
11Linear OA(5144, 656, F5, 43) (dual of [656, 512, 44]-code) [i]✔
12Linear OA(5143, 652, F5, 43) (dual of [652, 509, 44]-code) [i]✔
13Linear OA(5142, 649, F5, 43) (dual of [649, 507, 44]-code) [i]✔
14Linear OA(5149, 656, F5, 44) (dual of [656, 507, 45]-code) [i]✔
15Linear OA(5123, 632, F5, 39) (dual of [632, 509, 40]-code) [i]✔
16Linear OA(5128, 637, F5, 40) (dual of [637, 509, 41]-code) [i]✔
17Linear OA(5141, 648, F5, 43) (dual of [648, 507, 44]-code) [i]✔
18Linear OA(5146, 649, F5, 44) (dual of [649, 503, 45]-code) [i]✔
19Linear OA(5147, 656, F5, 44) (dual of [656, 509, 45]-code) [i]✔
20Linear OA(5146, 653, F5, 44) (dual of [653, 507, 45]-code) [i]✔