Information on Result #710831

Linear OA(525, 624, F5, 8) (dual of [624, 599, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9

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(525, 464, F5, 2, 8) (dual of [(464, 2), 903, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(525, 464, F5, 3, 8) (dual of [(464, 3), 1367, 9]-NRT-code) [i]
3Digital (17, 25, 464)-net over F5 [i]
4Linear OA(528, 639, F5, 8) (dual of [639, 611, 9]-code) [i]Construction XX with Cyclic Codes
5Linear OA(535, 642, F5, 10) (dual of [642, 607, 11]-code) [i]
6Linear OA(529, 632, F5, 9) (dual of [632, 603, 10]-code) [i]
7Linear OA(534, 637, F5, 10) (dual of [637, 603, 11]-code) [i]
8Linear OA(549, 656, F5, 13) (dual of [656, 607, 14]-code) [i]
9Linear OA(548, 653, F5, 13) (dual of [653, 605, 14]-code) [i]
10Linear OA(553, 654, F5, 14) (dual of [654, 601, 15]-code) [i]
11Linear OA(547, 648, F5, 13) (dual of [648, 601, 14]-code) [i]
12Linear OA(552, 649, F5, 14) (dual of [649, 597, 15]-code) [i]
13Linear OA(533, 632, F5, 10) (dual of [632, 599, 11]-code) [i]
14Linear OA(551, 648, F5, 14) (dual of [648, 597, 15]-code) [i]
15Linear OA(556, 655, F5, 15) (dual of [655, 599, 16]-code) [i]
16Linear OA(558, 655, F5, 16) (dual of [655, 597, 17]-code) [i]
17Linear OA(564, 663, F5, 17) (dual of [663, 599, 18]-code) [i]
18Linear OA(563, 660, F5, 17) (dual of [660, 597, 18]-code) [i]