Information on Result #610544

Linear OA(4153, 155, F4, 123) (dual of [155, 2, 124]-code), using repeating each code word 31 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), 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(4153, 155, F4, 122) (dual of [155, 2, 123]-code) [i]Strength Reduction
2Linear OA(4153, 155, F4, 121) (dual of [155, 2, 122]-code) [i]
3Linear OA(4153, 155, F4, 120) (dual of [155, 2, 121]-code) [i]
4Linear OA(4153, 155, F4, 119) (dual of [155, 2, 120]-code) [i]
5Linear OA(4153, 155, F4, 118) (dual of [155, 2, 119]-code) [i]
6Linear OA(4152, 154, F4, 122) (dual of [154, 2, 123]-code) [i]Truncation
7Linear OA(4151, 153, F4, 121) (dual of [153, 2, 122]-code) [i]
8Linear OA(4150, 152, F4, 120) (dual of [152, 2, 121]-code) [i]
9Linear OA(4149, 151, F4, 119) (dual of [151, 2, 120]-code) [i]
10Linear OA(4147, 149, F4, 117) (dual of [149, 2, 118]-code) [i]
11Linear OA(4146, 148, F4, 116) (dual of [148, 2, 117]-code) [i]
12Linear OA(4145, 147, F4, 115) (dual of [147, 2, 116]-code) [i]
13Linear OA(4144, 146, F4, 114) (dual of [146, 2, 115]-code) [i]
14Linear OA(4142, 144, F4, 112) (dual of [144, 2, 113]-code) [i]
15Linear OA(4141, 143, F4, 111) (dual of [143, 2, 112]-code) [i]
16Linear OA(4140, 142, F4, 110) (dual of [142, 2, 111]-code) [i]
17Linear OA(4139, 141, F4, 109) (dual of [141, 2, 110]-code) [i]
18Linear OA(4137, 139, F4, 107) (dual of [139, 2, 108]-code) [i]
19Linear OA(4136, 138, F4, 106) (dual of [138, 2, 107]-code) [i]
20Linear OA(4135, 137, F4, 105) (dual of [137, 2, 106]-code) [i]
21Linear OA(4134, 136, F4, 104) (dual of [136, 2, 105]-code) [i]
22Linear OA(4132, 134, F4, 102) (dual of [134, 2, 103]-code) [i]
23Linear OA(4131, 133, F4, 101) (dual of [133, 2, 102]-code) [i]
24Linear OA(4130, 132, F4, 100) (dual of [132, 2, 101]-code) [i]