Information on Result #710884

Linear OA(529, 624, F5, 9) (dual of [624, 595, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10

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 OOA(529, 524, F5, 2, 9) (dual of [(524, 2), 1019, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(529, 524, F5, 3, 9) (dual of [(524, 3), 1543, 10]-NRT-code) [i]
3Digital (20, 29, 524)-net over F5 [i]
4Linear OA(533, 632, F5, 10) (dual of [632, 599, 11]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(553, 656, F5, 14) (dual of [656, 603, 15]-code) [i]✔
6Linear OA(552, 653, F5, 14) (dual of [653, 601, 15]-code) [i]✔
7Linear OA(557, 654, F5, 15) (dual of [654, 597, 16]-code) [i]✔
8Linear OA(551, 648, F5, 14) (dual of [648, 597, 15]-code) [i]✔
9Linear OA(543, 638, F5, 13) (dual of [638, 595, 14]-code) [i]✔
10Linear OA(557, 652, F5, 16) (dual of [652, 595, 17]-code) [i]✔
11Linear OA(554, 649, F5, 15) (dual of [649, 595, 16]-code) [i]✔
12Linear OA(556, 649, F5, 16) (dual of [649, 593, 17]-code) [i]✔
13Linear OA(563, 657, F5, 17) (dual of [657, 594, 18]-code) [i]✔
14Linear OA(562, 655, F5, 17) (dual of [655, 593, 18]-code) [i]✔
15Linear OA(568, 663, F5, 18) (dual of [663, 595, 19]-code) [i]✔
16Linear OA(567, 660, F5, 18) (dual of [660, 593, 19]-code) [i]✔