Information on Result #995266

Linear OOA(434, 17, F4, 3, 29) (dual of [(17, 3), 17, 30]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,21P) based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(434, 17, F4, 3, 28) (dual of [(17, 3), 17, 29]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4162, 147, F4, 3, 58) (dual of [(147, 3), 279, 59]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(4229, 548, F4, 3, 58) (dual of [(548, 3), 1415, 59]-NRT-code) [i]
4Linear OOA(4164, 147, F4, 3, 59) (dual of [(147, 3), 277, 60]-NRT-code) [i]
5Linear OOA(4232, 548, F4, 3, 59) (dual of [(548, 3), 1412, 60]-NRT-code) [i]
6Linear OOA(497, 38, F4, 3, 69) (dual of [(38, 3), 17, 70]-NRT-code) [i]Juxtaposition for OOAs
7Linear OOA(4112, 43, F4, 3, 81) (dual of [(43, 3), 17, 82]-NRT-code) [i]
8Linear OOA(4115, 44, F4, 3, 84) (dual of [(44, 3), 17, 85]-NRT-code) [i]
9Linear OOA(4190, 69, F4, 3, 136) (dual of [(69, 3), 17, 137]-NRT-code) [i]
10Linear OOA(4193, 70, F4, 3, 139) (dual of [(70, 3), 17, 140]-NRT-code) [i]
11Linear OOA(4196, 71, F4, 3, 142) (dual of [(71, 3), 17, 143]-NRT-code) [i]
12Linear OOA(4199, 72, F4, 3, 145) (dual of [(72, 3), 17, 146]-NRT-code) [i]
13Linear OOA(4202, 73, F4, 3, 148) (dual of [(73, 3), 17, 149]-NRT-code) [i]
14Linear OOA(497, 37, F4, 3, 72) (dual of [(37, 3), 14, 73]-NRT-code) [i]
15Linear OOA(4115, 43, F4, 3, 87) (dual of [(43, 3), 14, 88]-NRT-code) [i]
16Linear OOA(4202, 72, F4, 3, 151) (dual of [(72, 3), 14, 152]-NRT-code) [i]
17Linear OOA(2119, 51, F2, 3, 59) (dual of [(51, 3), 34, 60]-NRT-code) [i]Concatenation of Two NRT-Codes
18Linear OOA(4198, 72, F4, 3, 144) (dual of [(72, 3), 18, 145]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes