Information on Result #710879

Linear OA(537, 624, F5, 12) (dual of [624, 587, 13]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {146,147,…,157}, and designed minimum distance d ≥ |I|+1 = 13

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(537, 366, F5, 2, 12) (dual of [(366, 2), 695, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(537, 366, F5, 3, 12) (dual of [(366, 3), 1061, 13]-NRT-code) [i]
3Digital (25, 37, 366)-net over F5 [i]
4Linear OA(542, 646, F5, 12) (dual of [646, 604, 13]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(541, 644, F5, 12) (dual of [644, 603, 13]-code) [i]✔
6Linear OA(540, 639, F5, 12) (dual of [639, 599, 13]-code) [i]✔
7Linear OA(539, 634, F5, 12) (dual of [634, 595, 13]-code) [i]✔
8Linear OA(538, 633, F5, 12) (dual of [633, 595, 13]-code) [i]✔
9Linear OA(557, 656, F5, 16) (dual of [656, 599, 17]-code) [i]✔
10Linear OA(556, 651, F5, 16) (dual of [651, 595, 17]-code) [i]✔
11Linear OA(554, 645, F5, 16) (dual of [645, 591, 17]-code) [i]✔
12Linear OA(561, 653, F5, 17) (dual of [653, 592, 18]-code) [i]✔
13Linear OA(562, 649, F5, 18) (dual of [649, 587, 19]-code) [i]✔
14Linear OA(568, 655, F5, 19) (dual of [655, 587, 20]-code) [i]✔
15Linear OA(575, 662, F5, 20) (dual of [662, 587, 21]-code) [i]✔
16Linear OA(574, 659, F5, 20) (dual of [659, 585, 21]-code) [i]✔