Information on Result #662644

Linear OA(415, 43, F4, 7) (dual of [43, 28, 8]-code), using (u, u+v)-construction based on
  1. linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
  2. linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4256, 4140, F4, 53) (dual of [4140, 3884, 54]-code) [i]Construction X with Cyclic Codes
2Linear OA(4244, 4140, F4, 51) (dual of [4140, 3896, 52]-code) [i]
3Linear OA(4232, 4140, F4, 49) (dual of [4140, 3908, 50]-code) [i]
4Linear OA(4220, 4140, F4, 45) (dual of [4140, 3920, 46]-code) [i]
5Linear OA(4208, 4140, F4, 43) (dual of [4140, 3932, 44]-code) [i]
6Linear OA(4196, 4140, F4, 41) (dual of [4140, 3944, 42]-code) [i]
7Linear OA(4184, 4140, F4, 37) (dual of [4140, 3956, 38]-code) [i]
8Linear OA(4172, 4140, F4, 35) (dual of [4140, 3968, 36]-code) [i]
9Linear OA(4160, 4140, F4, 33) (dual of [4140, 3980, 34]-code) [i]
10Linear OA(4136, 4140, F4, 27) (dual of [4140, 4004, 28]-code) [i]
11Linear OA(4124, 4140, F4, 25) (dual of [4140, 4016, 26]-code) [i]
12Linear OA(4256, 1068, F4, 65) (dual of [1068, 812, 66]-code) [i]
13Linear OA(4246, 1068, F4, 61) (dual of [1068, 822, 62]-code) [i]
14Linear OA(4236, 1068, F4, 59) (dual of [1068, 832, 60]-code) [i]
15Linear OA(4226, 1068, F4, 57) (dual of [1068, 842, 58]-code) [i]
16Linear OA(4216, 1068, F4, 53) (dual of [1068, 852, 54]-code) [i]
17Linear OA(4206, 1068, F4, 51) (dual of [1068, 862, 52]-code) [i]
18Linear OA(4196, 1068, F4, 49) (dual of [1068, 872, 50]-code) [i]
19Linear OA(4186, 1068, F4, 45) (dual of [1068, 882, 46]-code) [i]
20Linear OA(4176, 1068, F4, 43) (dual of [1068, 892, 44]-code) [i]
21Linear OA(4166, 1068, F4, 41) (dual of [1068, 902, 42]-code) [i]
22Linear OA(4156, 1068, F4, 37) (dual of [1068, 912, 38]-code) [i]
23Linear OA(4146, 1068, F4, 35) (dual of [1068, 922, 36]-code) [i]
24Linear OA(4136, 1068, F4, 33) (dual of [1068, 932, 34]-code) [i]
25Linear OA(4126, 1068, F4, 29) (dual of [1068, 942, 30]-code) [i]
26Linear OA(4116, 1068, F4, 27) (dual of [1068, 952, 28]-code) [i]
27Linear OA(4106, 1068, F4, 25) (dual of [1068, 962, 26]-code) [i]
28Linear OA(4251, 1067, F4, 63) (dual of [1067, 816, 64]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
29Linear OA(4246, 1067, F4, 62) (dual of [1067, 821, 63]-code) [i]
30Linear OA(4241, 1067, F4, 61) (dual of [1067, 826, 62]-code) [i]
31Linear OA(4231, 1067, F4, 58) (dual of [1067, 836, 59]-code) [i]
32Linear OA(4221, 1067, F4, 55) (dual of [1067, 846, 56]-code) [i]
33Linear OA(4216, 1067, F4, 54) (dual of [1067, 851, 55]-code) [i]
34Linear OA(4211, 1067, F4, 53) (dual of [1067, 856, 54]-code) [i]
35Linear OA(4201, 1067, F4, 50) (dual of [1067, 866, 51]-code) [i]
36Linear OA(4191, 1067, F4, 47) (dual of [1067, 876, 48]-code) [i]
37Linear OA(4186, 1067, F4, 46) (dual of [1067, 881, 47]-code) [i]
38Linear OA(4181, 1067, F4, 45) (dual of [1067, 886, 46]-code) [i]
39Linear OA(4171, 1067, F4, 42) (dual of [1067, 896, 43]-code) [i]
40Linear OA(4161, 1067, F4, 39) (dual of [1067, 906, 40]-code) [i]
41Linear OA(4156, 1067, F4, 38) (dual of [1067, 911, 39]-code) [i]
42Linear OA(4151, 1067, F4, 37) (dual of [1067, 916, 38]-code) [i]
43Linear OA(4141, 1067, F4, 34) (dual of [1067, 926, 35]-code) [i]
44Linear OA(4131, 1067, F4, 31) (dual of [1067, 936, 32]-code) [i]
45Linear OA(4126, 1067, F4, 30) (dual of [1067, 941, 31]-code) [i]
46Linear OA(4121, 1067, F4, 29) (dual of [1067, 946, 30]-code) [i]
47Linear OA(4111, 1067, F4, 26) (dual of [1067, 956, 27]-code) [i]
48Linear OA(4101, 1067, F4, 23) (dual of [1067, 966, 24]-code) [i]
49Linear OA(496, 1067, F4, 22) (dual of [1067, 971, 23]-code) [i]
50Linear OOA(415, 21, F4, 2, 7) (dual of [(21, 2), 27, 8]-NRT-code) [i]OOA Folding