Information on Result #613612

Linear OA(529, 625, F5, 9) (dual of [625, 596, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,8], 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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(533, 631, F5, 9) (dual of [631, 598, 10]-code) [i](u, u+v)-Construction
2Linear OA(534, 630, F5, 11) (dual of [630, 596, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(529, 629, F5, 9) (dual of [629, 600, 10]-code) [i]✔
4Linear OA(540, 636, F5, 12) (dual of [636, 596, 13]-code) [i]✔
5Linear OA(530, 634, F5, 9) (dual of [634, 604, 10]-code) [i]✔
6Linear OA(545, 641, F5, 13) (dual of [641, 596, 14]-code) [i]✔
7Linear OA(532, 640, F5, 9) (dual of [640, 608, 10]-code) [i]✔
8Linear OA(551, 645, F5, 14) (dual of [645, 594, 15]-code) [i]✔
9Linear OA(552, 648, F5, 14) (dual of [648, 596, 15]-code) [i]✔
10Linear OA(557, 652, F5, 15) (dual of [652, 595, 16]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(559, 653, F5, 16) (dual of [653, 594, 17]-code) [i]✔
12Linear OA(556, 650, F5, 15) (dual of [650, 594, 16]-code) [i]✔
13Linear OA(558, 651, F5, 16) (dual of [651, 593, 17]-code) [i]✔
14Linear OA(550, 643, F5, 14) (dual of [643, 593, 15]-code) [i]✔
15Linear OA(553, 650, F5, 14) (dual of [650, 597, 15]-code) [i]✔
16Linear OA(546, 643, F5, 13) (dual of [643, 597, 14]-code) [i]✔
17Linear OA(539, 632, F5, 12) (dual of [632, 593, 13]-code) [i]✔
18Linear OA(535, 632, F5, 11) (dual of [632, 597, 12]-code) [i]✔
19Linear OA(530, 635, F5, 9) (dual of [635, 605, 10]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes