Information on Result #683453

Linear OA(541, 625, F5, 13) (dual of [625, 584, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(545, 629, F5, 14) (dual of [629, 584, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(541, 629, F5, 13) (dual of [629, 588, 14]-code) [i]✔
3Linear OA(552, 636, F5, 16) (dual of [636, 584, 17]-code) [i]✔
4Linear OA(557, 641, F5, 17) (dual of [641, 584, 18]-code) [i]✔
5Linear OA(545, 641, F5, 13) (dual of [641, 596, 14]-code) [i]✔
6Linear OA(563, 645, F5, 18) (dual of [645, 582, 19]-code) [i]✔
7Linear OA(564, 648, F5, 18) (dual of [648, 584, 19]-code) [i]✔
8Linear OA(547, 645, F5, 13) (dual of [645, 598, 14]-code) [i]✔
9Linear OA(548, 648, F5, 13) (dual of [648, 600, 14]-code) [i]✔
10Linear OA(570, 652, F5, 19) (dual of [652, 582, 20]-code) [i]✔
11Linear OA(571, 655, F5, 19) (dual of [655, 584, 20]-code) [i]✔
12Linear OA(578, 659, F5, 21) (dual of [659, 581, 22]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(576, 657, F5, 20) (dual of [657, 581, 21]-code) [i]✔
14Linear OA(569, 650, F5, 19) (dual of [650, 581, 20]-code) [i]✔
15Linear OA(572, 657, F5, 19) (dual of [657, 585, 20]-code) [i]✔
16Linear OA(562, 643, F5, 18) (dual of [643, 581, 19]-code) [i]✔
17Linear OA(565, 650, F5, 18) (dual of [650, 585, 19]-code) [i]✔
18Linear OA(558, 643, F5, 17) (dual of [643, 585, 18]-code) [i]✔
19Linear OA(551, 632, F5, 16) (dual of [632, 581, 17]-code) [i]✔
20Linear OA(546, 643, F5, 13) (dual of [643, 597, 14]-code) [i]✔