Information on Result #613701

Linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(596, 390633, F5, 14) (dual of [390633, 390537, 15]-code) [i](u, u+v)-Construction
2Linear OA(597, 390636, F5, 14) (dual of [390636, 390539, 15]-code) [i]
3Linear OA(598, 390639, F5, 14) (dual of [390639, 390541, 15]-code) [i]
4Linear OA(599, 390650, F5, 14) (dual of [390650, 390551, 15]-code) [i]
5Linear OA(598, 390635, F5, 14) (dual of [390635, 390537, 15]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(599, 390637, F5, 14) (dual of [390637, 390538, 15]-code) [i]
7Linear OA(598, 390634, F5, 16) (dual of [390634, 390536, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(589, 390633, F5, 14) (dual of [390633, 390544, 15]-code) [i]✔
9Linear OA(5108, 390644, F5, 17) (dual of [390644, 390536, 18]-code) [i]✔
10Linear OA(590, 390642, F5, 14) (dual of [390642, 390552, 15]-code) [i]✔
11Linear OA(5117, 390651, F5, 18) (dual of [390651, 390534, 19]-code) [i]✔
12Linear OA(5118, 390654, F5, 18) (dual of [390654, 390536, 19]-code) [i]✔
13Linear OA(592, 390652, F5, 14) (dual of [390652, 390560, 15]-code) [i]✔
14Linear OA(5129, 390665, F5, 19) (dual of [390665, 390536, 20]-code) [i]✔
15Linear OA(597, 390665, F5, 14) (dual of [390665, 390568, 15]-code) [i]✔
16Linear OA(5141, 390677, F5, 21) (dual of [390677, 390536, 22]-code) [i]✔
17Linear OA(5139, 390675, F5, 20) (dual of [390675, 390536, 21]-code) [i]✔
18Linear OA(599, 390675, F5, 14) (dual of [390675, 390576, 15]-code) [i]✔
19Linear OA(5128, 390664, F5, 19) (dual of [390664, 390536, 20]-code) [i]✔
20Linear OA(596, 390664, F5, 14) (dual of [390664, 390568, 15]-code) [i]✔
21Linear OA(5140, 390670, F5, 21) (dual of [390670, 390530, 22]-code) [i]✔
22Linear OA(5138, 390669, F5, 20) (dual of [390669, 390531, 21]-code) [i]✔
23Linear OA(598, 390669, F5, 14) (dual of [390669, 390571, 15]-code) [i]✔
24Linear OA(5138, 390671, F5, 20) (dual of [390671, 390533, 21]-code) [i]✔
25Linear OA(598, 390671, F5, 14) (dual of [390671, 390573, 15]-code) [i]✔
26Linear OA(5138, 390674, F5, 20) (dual of [390674, 390536, 21]-code) [i]✔
27Linear OA(598, 390674, F5, 14) (dual of [390674, 390576, 15]-code) [i]✔
28Linear OA(5150, 390686, F5, 22) (dual of [390686, 390536, 23]-code) [i]✔
29Linear OA(5128, 390659, F5, 19) (dual of [390659, 390531, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(5127, 390657, F5, 19) (dual of [390657, 390530, 20]-code) [i]✔
31Linear OA(5126, 390655, F5, 19) (dual of [390655, 390529, 20]-code) [i]✔
32Linear OA(5116, 390645, F5, 18) (dual of [390645, 390529, 19]-code) [i]✔
33Linear OA(5120, 390658, F5, 18) (dual of [390658, 390538, 19]-code) [i]✔
34Linear OA(5119, 390656, F5, 18) (dual of [390656, 390537, 19]-code) [i]✔
35Linear OA(5107, 390636, F5, 17) (dual of [390636, 390529, 18]-code) [i]✔
36Linear OA(599, 390636, F5, 16) (dual of [390636, 390537, 17]-code) [i]✔
37Linear OA(596, 390659, F5, 14) (dual of [390659, 390563, 15]-code) [i]✔
38Linear OA(595, 390657, F5, 14) (dual of [390657, 390562, 15]-code) [i]✔
39Linear OA(594, 390655, F5, 14) (dual of [390655, 390561, 15]-code) [i]✔
40Linear OA(5106, 390643, F5, 16) (dual of [390643, 390537, 17]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
41Linear OA(590, 390643, F5, 14) (dual of [390643, 390553, 15]-code) [i]✔