Information on Result #710964

Linear OA(536, 624, F5, 11) (dual of [624, 588, 12]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12

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(536, 536, F5, 2, 11) (dual of [(536, 2), 1036, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(536, 536, F5, 3, 11) (dual of [(536, 3), 1572, 12]-NRT-code) [i]
3Digital (25, 36, 536)-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(567, 656, F5, 18) (dual of [656, 589, 19]-code) [i]✔
8Linear OA(566, 653, F5, 18) (dual of [653, 587, 19]-code) [i]✔
9Linear OA(570, 653, F5, 19) (dual of [653, 583, 20]-code) [i]✔
10Linear OA(575, 658, F5, 20) (dual of [658, 583, 21]-code) [i]✔
11Linear OA(569, 657, F5, 19) (dual of [657, 588, 20]-code) [i]✔
12Linear OA(578, 666, F5, 21) (dual of [666, 588, 22]-code) [i]✔
13Linear OA(577, 664, F5, 21) (dual of [664, 587, 22]-code) [i]✔
14Linear OA(576, 661, F5, 21) (dual of [661, 585, 22]-code) [i]✔
15Linear OA(584, 671, F5, 22) (dual of [671, 587, 23]-code) [i]✔
16Linear OA(583, 668, F5, 22) (dual of [668, 585, 23]-code) [i]✔
17Linear OA(582, 665, F5, 22) (dual of [665, 583, 23]-code) [i]✔
18Linear OA(589, 670, F5, 23) (dual of [670, 581, 24]-code) [i]✔