Information on Result #710944

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 = {141,142,…,157}, 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(564, 658, F5, 17) (dual of [658, 594, 18]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(564, 659, F5, 17) (dual of [659, 595, 18]-code) [i]✔
6Linear OA(563, 656, F5, 17) (dual of [656, 593, 18]-code) [i]✔
7Linear OA(562, 653, F5, 17) (dual of [653, 591, 18]-code) [i]✔
8Linear OA(561, 653, F5, 17) (dual of [653, 592, 18]-code) [i]✔
9Linear OA(558, 646, F5, 17) (dual of [646, 588, 18]-code) [i]✔
10Linear OA(557, 644, F5, 17) (dual of [644, 587, 18]-code) [i]✔
11Linear OA(556, 639, F5, 17) (dual of [639, 583, 18]-code) [i]✔
12Linear OA(555, 634, F5, 17) (dual of [634, 579, 18]-code) [i]✔
13Linear OA(554, 633, F5, 17) (dual of [633, 579, 18]-code) [i]✔
14Linear OA(573, 656, F5, 21) (dual of [656, 583, 22]-code) [i]✔
15Linear OA(572, 651, F5, 21) (dual of [651, 579, 22]-code) [i]✔
16Linear OA(570, 645, F5, 21) (dual of [645, 575, 22]-code) [i]✔
17Linear OA(577, 653, F5, 22) (dual of [653, 576, 23]-code) [i]✔
18Linear OA(578, 649, F5, 23) (dual of [649, 571, 24]-code) [i]✔
19Linear OA(584, 655, F5, 24) (dual of [655, 571, 25]-code) [i]✔
20Linear OA(591, 662, F5, 25) (dual of [662, 571, 26]-code) [i]✔
21Linear OA(590, 659, F5, 25) (dual of [659, 569, 26]-code) [i]✔