Information on Result #616209

Linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)

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 OA(414, 34, F4, 7) (dual of [34, 20, 8]-code) [i]Trace Code
2Linear OA(1637, 531, F16, 15) (dual of [531, 494, 16]-code) [i](u, u+v)-Construction
3Linear OA(1650, 4114, F16, 15) (dual of [4114, 4064, 16]-code) [i]
4Linear OA(1665, 131091, F16, 15) (dual of [131091, 131026, 16]-code) [i]
5Linear OA(1678, 1048594, F16, 15) (dual of [1048594, 1048516, 16]-code) [i]
6Linear OA(1635, 531, F16, 14) (dual of [531, 496, 15]-code) [i]
7Linear OA(1647, 4113, F16, 14) (dual of [4113, 4066, 15]-code) [i]
8Linear OA(1661, 131089, F16, 14) (dual of [131089, 131028, 15]-code) [i]
9Linear OA(1673, 1048593, F16, 14) (dual of [1048593, 1048520, 15]-code) [i]
10OA(1683, 2097172, S16, 15) [i]
11OA(1677, 2097172, S16, 14) [i]
12Linear OA(1682, 119, F16, 47) (dual of [119, 37, 48]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(1672, 82, F16, 57) (dual of [82, 10, 58]-code) [i]Juxtaposition
14Linear OOA(262, 51, F2, 2, 23) (dual of [(51, 2), 40, 24]-NRT-code) [i]Concatenation of Two NRT-Codes
15Linear OOA(2113, 51, F2, 3, 47) (dual of [(51, 3), 40, 48]-NRT-code) [i]
16Linear OA(16124, 1048610, F16, 23) (dual of [1048610, 1048486, 24]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(16125, 1048617, F16, 23) (dual of [1048617, 1048492, 24]-code) [i]
18Linear OA(16126, 1048626, F16, 23) (dual of [1048626, 1048500, 24]-code) [i]
19Linear OA(16119, 1048610, F16, 22) (dual of [1048610, 1048491, 23]-code) [i]
20Linear OA(16120, 1048617, F16, 22) (dual of [1048617, 1048497, 23]-code) [i]
21Linear OA(16113, 1048610, F16, 21) (dual of [1048610, 1048497, 22]-code) [i]
22Linear OA(16114, 1048617, F16, 21) (dual of [1048617, 1048503, 22]-code) [i]
23Linear OA(1655, 4131, F16, 15) (dual of [4131, 4076, 16]-code) [i]
24Linear OA(1670, 131108, F16, 15) (dual of [131108, 131038, 16]-code) [i]
25Linear OA(1683, 1048611, F16, 15) (dual of [1048611, 1048528, 16]-code) [i]
26Linear OA(1651, 4130, F16, 14) (dual of [4130, 4079, 15]-code) [i]
27Linear OA(1665, 131106, F16, 14) (dual of [131106, 131041, 15]-code) [i]
28Linear OA(1677, 1048610, F16, 14) (dual of [1048610, 1048533, 15]-code) [i]
29Linear OA(169, 20, F16, 7) (dual of [20, 11, 8]-code) [i]✔Construction X with Cyclic Codes
30Linear OA(16120, 274, F16, 63) (dual of [274, 154, 64]-code) [i]
31Linear OA(1671, 276, F16, 36) (dual of [276, 205, 37]-code) [i]Construction XX with Cyclic Codes
32Linear OA(1670, 274, F16, 36) (dual of [274, 204, 37]-code) [i]
33Linear OA(1673, 276, F16, 37) (dual of [276, 203, 38]-code) [i]
34Linear OA(1672, 274, F16, 37) (dual of [274, 202, 38]-code) [i]
35Linear OA(1673, 277, F16, 37) (dual of [277, 204, 38]-code) [i]
36Linear OA(1675, 276, F16, 38) (dual of [276, 201, 39]-code) [i]
37Linear OA(1674, 274, F16, 38) (dual of [274, 200, 39]-code) [i]
38Linear OA(1675, 277, F16, 38) (dual of [277, 202, 39]-code) [i]
39Linear OA(1677, 276, F16, 39) (dual of [276, 199, 40]-code) [i]
40Linear OA(1676, 274, F16, 39) (dual of [274, 198, 40]-code) [i]
41Linear OA(1677, 277, F16, 39) (dual of [277, 200, 40]-code) [i]
42Linear OA(1679, 277, F16, 40) (dual of [277, 198, 41]-code) [i]
43Linear OA(16119, 273, F16, 67) (dual of [273, 154, 68]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
44Linear OA(1694, 273, F16, 51) (dual of [273, 179, 52]-code) [i]
45Linear OA(1676, 273, F16, 39) (dual of [273, 197, 40]-code) [i]
46Linear OA(1674, 273, F16, 38) (dual of [273, 199, 39]-code) [i]
47Linear OA(1672, 273, F16, 37) (dual of [273, 201, 38]-code) [i]
48Linear OA(1670, 273, F16, 36) (dual of [273, 203, 37]-code) [i]
49Linear OA(1668, 273, F16, 35) (dual of [273, 205, 36]-code) [i]
50Linear OA(16102, 274, F16, 55) (dual of [274, 172, 56]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
51Linear OA(16100, 274, F16, 54) (dual of [274, 174, 55]-code) [i]
52Linear OA(1698, 274, F16, 53) (dual of [274, 176, 54]-code) [i]
53Linear OA(1696, 274, F16, 52) (dual of [274, 178, 53]-code) [i]