Information on Result #711181

Linear OA(552, 624, F5, 16) (dual of [624, 572, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(552, 523, F5, 2, 16) (dual of [(523, 2), 994, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(552, 523, F5, 3, 16) (dual of [(523, 3), 1517, 17]-NRT-code) [i]
3Digital (36, 52, 523)-net over F5 [i]
4Linear OA(586, 665, F5, 23) (dual of [665, 579, 24]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(593, 670, F5, 24) (dual of [670, 577, 25]-code) [i]✔
6Linear OA(578, 654, F5, 22) (dual of [654, 576, 23]-code) [i]✔
7Linear OA(577, 652, F5, 22) (dual of [652, 575, 23]-code) [i]✔
8Linear OA(576, 649, F5, 22) (dual of [649, 573, 23]-code) [i]✔
9Linear OA(584, 659, F5, 23) (dual of [659, 575, 24]-code) [i]✔
10Linear OA(583, 656, F5, 23) (dual of [656, 573, 24]-code) [i]✔
11Linear OA(582, 653, F5, 23) (dual of [653, 571, 24]-code) [i]✔
12Linear OA(586, 653, F5, 24) (dual of [653, 567, 25]-code) [i]✔
13Linear OA(591, 658, F5, 25) (dual of [658, 567, 26]-code) [i]✔
14Linear OA(585, 657, F5, 24) (dual of [657, 572, 25]-code) [i]✔
15Linear OA(594, 666, F5, 26) (dual of [666, 572, 27]-code) [i]✔
16Linear OA(593, 664, F5, 26) (dual of [664, 571, 27]-code) [i]✔
17Linear OA(592, 661, F5, 26) (dual of [661, 569, 27]-code) [i]✔
18Linear OA(599, 668, F5, 27) (dual of [668, 569, 28]-code) [i]✔
19Linear OA(598, 665, F5, 27) (dual of [665, 567, 28]-code) [i]✔