Information on Result #710965

Linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,11}, and designed minimum distance d ≥ |I|+1 = 18

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(553, 416, F5, 2, 17) (dual of [(416, 2), 779, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(553, 416, F5, 3, 17) (dual of [(416, 3), 1195, 18]-NRT-code) [i]
3Digital (36, 53, 416)-net over F5 [i]
4Linear OA(562, 654, F5, 17) (dual of [654, 592, 18]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(561, 652, F5, 17) (dual of [652, 591, 18]-code) [i]✔
6Linear OA(560, 649, F5, 17) (dual of [649, 589, 18]-code) [i]✔
7Linear OA(564, 663, F5, 17) (dual of [663, 599, 18]-code) [i]✔
8Linear OA(563, 660, F5, 17) (dual of [660, 597, 18]-code) [i]✔
9Linear OA(562, 655, F5, 17) (dual of [655, 593, 18]-code) [i]✔
10Linear OA(560, 651, F5, 17) (dual of [651, 591, 18]-code) [i]✔
11Linear OA(559, 648, F5, 17) (dual of [648, 589, 18]-code) [i]✔
12Linear OA(563, 648, F5, 18) (dual of [648, 585, 19]-code) [i]✔
13Linear OA(569, 656, F5, 19) (dual of [656, 587, 20]-code) [i]✔
14Linear OA(568, 653, F5, 19) (dual of [653, 585, 20]-code) [i]✔
15Linear OA(578, 666, F5, 21) (dual of [666, 588, 22]-code) [i]✔
16Linear OA(577, 664, F5, 21) (dual of [664, 587, 22]-code) [i]✔
17Linear OA(576, 661, F5, 21) (dual of [661, 585, 22]-code) [i]✔
18Linear OA(576, 663, F5, 21) (dual of [663, 587, 22]-code) [i]✔
19Linear OA(573, 660, F5, 20) (dual of [660, 587, 21]-code) [i]✔
20Linear OA(575, 660, F5, 21) (dual of [660, 585, 22]-code) [i]✔