Information on Result #613745

Linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(587, 15634, F5, 17) (dual of [15634, 15547, 18]-code) [i](u, u+v)-Construction
2Linear OA(588, 15636, F5, 17) (dual of [15636, 15548, 18]-code) [i]
3Linear OA(589, 15638, F5, 17) (dual of [15638, 15549, 18]-code) [i]
4Linear OA(590, 15641, F5, 17) (dual of [15641, 15551, 18]-code) [i]
5Linear OA(591, 15652, F5, 17) (dual of [15652, 15561, 18]-code) [i]
6Linear OA(590, 15637, F5, 17) (dual of [15637, 15547, 18]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(585, 15631, F5, 18) (dual of [15631, 15546, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(579, 15631, F5, 17) (dual of [15631, 15552, 18]-code) [i]✔
9Linear OA(592, 15638, F5, 19) (dual of [15638, 15546, 20]-code) [i]✔
10Linear OA(582, 15640, F5, 17) (dual of [15640, 15558, 18]-code) [i]✔
11Linear OA(5101, 15647, F5, 21) (dual of [15647, 15546, 22]-code) [i]✔
12Linear OA(583, 15647, F5, 17) (dual of [15647, 15564, 18]-code) [i]✔
13Linear OA(5110, 15651, F5, 22) (dual of [15651, 15541, 23]-code) [i]✔
14Linear OA(5111, 15657, F5, 22) (dual of [15657, 15546, 23]-code) [i]✔
15Linear OA(586, 15651, F5, 17) (dual of [15651, 15565, 18]-code) [i]✔
16Linear OA(587, 15657, F5, 17) (dual of [15657, 15570, 18]-code) [i]✔
17Linear OA(5119, 15665, F5, 23) (dual of [15665, 15546, 24]-code) [i]✔
18Linear OA(589, 15665, F5, 17) (dual of [15665, 15576, 18]-code) [i]✔
19Linear OA(5127, 15673, F5, 24) (dual of [15673, 15546, 25]-code) [i]✔
20Linear OA(5139, 15685, F5, 26) (dual of [15685, 15546, 27]-code) [i]✔
21Linear OA(5135, 15677, F5, 25) (dual of [15677, 15542, 26]-code) [i]✔
22Linear OA(5136, 15682, F5, 25) (dual of [15682, 15546, 26]-code) [i]✔
23Linear OA(5109, 15655, F5, 22) (dual of [15655, 15546, 23]-code) [i]✔
24Linear OA(585, 15655, F5, 17) (dual of [15655, 15570, 18]-code) [i]✔
25Linear OA(5118, 15664, F5, 23) (dual of [15664, 15546, 24]-code) [i]✔
26Linear OA(587, 15658, F5, 17) (dual of [15658, 15571, 18]-code) [i]✔
27Linear OA(588, 15664, F5, 17) (dual of [15664, 15576, 18]-code) [i]✔
28Linear OA(5126, 15670, F5, 24) (dual of [15670, 15544, 25]-code) [i]✔
29Linear OA(5118, 15659, F5, 23) (dual of [15659, 15541, 24]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(5110, 15653, F5, 22) (dual of [15653, 15543, 23]-code) [i]✔
31Linear OA(5109, 15651, F5, 22) (dual of [15651, 15542, 23]-code) [i]✔
32Linear OA(5108, 15649, F5, 22) (dual of [15649, 15541, 23]-code) [i]✔
33Linear OA(5112, 15659, F5, 22) (dual of [15659, 15547, 23]-code) [i]✔
34Linear OA(599, 15640, F5, 20) (dual of [15640, 15541, 21]-code) [i]✔
35Linear OA(5104, 15653, F5, 21) (dual of [15653, 15549, 22]-code) [i]✔
36Linear OA(5103, 15651, F5, 21) (dual of [15651, 15548, 22]-code) [i]✔
37Linear OA(5102, 15649, F5, 21) (dual of [15649, 15547, 22]-code) [i]✔
38Linear OA(593, 15640, F5, 19) (dual of [15640, 15547, 20]-code) [i]✔
39Linear OA(581, 15634, F5, 17) (dual of [15634, 15553, 18]-code) [i]✔
40Linear OA(586, 15653, F5, 17) (dual of [15653, 15567, 18]-code) [i]✔
41Linear OA(585, 15651, F5, 17) (dual of [15651, 15566, 18]-code) [i]✔
42Linear OA(584, 15649, F5, 17) (dual of [15649, 15565, 18]-code) [i]✔
43Linear OA(588, 15659, F5, 17) (dual of [15659, 15571, 18]-code) [i]✔
44Linear OA(598, 15645, F5, 19) (dual of [15645, 15547, 20]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
45Linear OOA(579, 1953, F5, 17, 17) (dual of [(1953, 17), 33122, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row