Information on Result #662642

Linear OA(414, 37, F4, 7) (dual of [37, 23, 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(410, 20, F4, 7) (dual of [20, 10, 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(4255, 1062, F4, 65) (dual of [1062, 807, 66]-code) [i]Construction X with Cyclic Codes
2Linear OA(4245, 1062, F4, 61) (dual of [1062, 817, 62]-code) [i]
3Linear OA(4235, 1062, F4, 59) (dual of [1062, 827, 60]-code) [i]
4Linear OA(4225, 1062, F4, 57) (dual of [1062, 837, 58]-code) [i]
5Linear OA(4215, 1062, F4, 53) (dual of [1062, 847, 54]-code) [i]
6Linear OA(4205, 1062, F4, 51) (dual of [1062, 857, 52]-code) [i]
7Linear OA(4195, 1062, F4, 49) (dual of [1062, 867, 50]-code) [i]
8Linear OA(4185, 1062, F4, 45) (dual of [1062, 877, 46]-code) [i]
9Linear OA(4175, 1062, F4, 43) (dual of [1062, 887, 44]-code) [i]
10Linear OA(4165, 1062, F4, 41) (dual of [1062, 897, 42]-code) [i]
11Linear OA(4155, 1062, F4, 37) (dual of [1062, 907, 38]-code) [i]
12Linear OA(4145, 1062, F4, 35) (dual of [1062, 917, 36]-code) [i]
13Linear OA(4135, 1062, F4, 33) (dual of [1062, 927, 34]-code) [i]
14Linear OA(4125, 1062, F4, 29) (dual of [1062, 937, 30]-code) [i]
15Linear OA(4115, 1062, F4, 27) (dual of [1062, 947, 28]-code) [i]
16Linear OA(4105, 1062, F4, 25) (dual of [1062, 957, 26]-code) [i]
17Linear OA(4135, 294, F4, 43) (dual of [294, 159, 44]-code) [i]
18Linear OA(4131, 293, F4, 42) (dual of [293, 162, 43]-code) [i]Construction XX with Cyclic Codes
19Linear OA(4136, 297, F4, 43) (dual of [297, 161, 44]-code) [i]
20Linear OA(4136, 298, F4, 43) (dual of [298, 162, 44]-code) [i]
21Linear OA(4140, 296, F4, 44) (dual of [296, 156, 45]-code) [i]
22Linear OA(4140, 297, F4, 44) (dual of [297, 157, 45]-code) [i]
23Linear OA(4140, 300, F4, 44) (dual of [300, 160, 45]-code) [i]
24Linear OA(4142, 300, F4, 45) (dual of [300, 158, 46]-code) [i]
25Linear OA(4140, 296, F4, 45) (dual of [296, 156, 46]-code) [i]
26Linear OA(4143, 305, F4, 45) (dual of [305, 162, 46]-code) [i]
27Linear OA(4143, 295, F4, 46) (dual of [295, 152, 47]-code) [i]
28Linear OA(4144, 297, F4, 46) (dual of [297, 153, 47]-code) [i]
29Linear OA(4255, 1061, F4, 66) (dual of [1061, 806, 67]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
30Linear OA(4143, 293, F4, 46) (dual of [293, 150, 47]-code) [i]
31Linear OA(4139, 293, F4, 45) (dual of [293, 154, 46]-code) [i]
32Linear OA(4131, 292, F4, 42) (dual of [292, 161, 43]-code) [i]
33Linear OA(4257, 1062, F4, 67) (dual of [1062, 805, 68]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OOA(414, 18, F4, 2, 7) (dual of [(18, 2), 22, 8]-NRT-code) [i]OOA Folding