Information on Result #890111

Linear OOA(712, 13, F7, 2, 11) (dual of [(13, 2), 14, 12]-NRT-code), using extracting embedded OOA based on digital (1, 12, 13)-net over F7, 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(712, 13, F7, 2, 10) (dual of [(13, 2), 14, 11]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(714, 14, F7, 2, 11) (dual of [(14, 2), 14, 12]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(717, 21, F7, 2, 11) (dual of [(21, 2), 25, 12]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(744, 37, F7, 2, 23) (dual of [(37, 2), 30, 24]-NRT-code) [i]
5Linear OOA(7109, 63, F7, 2, 71) (dual of [(63, 2), 17, 72]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
6Linear OOA(7106, 62, F7, 2, 69) (dual of [(62, 2), 18, 70]-NRT-code) [i]
7Linear OOA(7107, 63, F7, 2, 69) (dual of [(63, 2), 19, 70]-NRT-code) [i]
8Linear OOA(798, 61, F7, 2, 59) (dual of [(61, 2), 24, 60]-NRT-code) [i]
9Linear OOA(799, 62, F7, 2, 59) (dual of [(62, 2), 25, 60]-NRT-code) [i]
10Linear OOA(767, 51, F7, 2, 35) (dual of [(51, 2), 35, 36]-NRT-code) [i]
11Linear OOA(762, 44, F7, 2, 35) (dual of [(44, 2), 26, 36]-NRT-code) [i]
12Linear OOA(720, 29, F7, 2, 11) (dual of [(29, 2), 38, 12]-NRT-code) [i]
13Linear OOA(7110, 107, F7, 2, 65) (dual of [(107, 2), 104, 66]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
14Linear OOA(7109, 107, F7, 2, 64) (dual of [(107, 2), 105, 65]-NRT-code) [i]
15Linear OOA(7108, 107, F7, 2, 63) (dual of [(107, 2), 106, 64]-NRT-code) [i]
16Linear OOA(7107, 107, F7, 2, 62) (dual of [(107, 2), 107, 63]-NRT-code) [i]
17Linear OOA(7106, 107, F7, 2, 61) (dual of [(107, 2), 108, 62]-NRT-code) [i]
18Linear OOA(7105, 107, F7, 2, 60) (dual of [(107, 2), 109, 61]-NRT-code) [i]