Information on Result #1073085

Linear OOA(376, 28, F3, 4, 61) (dual of [(28, 4), 36, 62]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,50P) based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(376, 28, F3, 4, 60) (dual of [(28, 4), 36, 61]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(376, 28, F3, 4, 59) (dual of [(28, 4), 36, 60]-NRT-code) [i]
3Linear OOA(376, 28, F3, 4, 58) (dual of [(28, 4), 36, 59]-NRT-code) [i]
4Linear OOA(380, 29, F3, 4, 61) (dual of [(29, 4), 36, 62]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3188, 56, F3, 4, 123) (dual of [(56, 4), 36, 124]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3184, 54, F3, 4, 123) (dual of [(54, 4), 32, 124]-NRT-code) [i]
7Linear OOA(3180, 52, F3, 4, 123) (dual of [(52, 4), 28, 124]-NRT-code) [i]
8Linear OOA(3119, 52, F3, 4, 61) (dual of [(52, 4), 89, 62]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(3121, 56, F3, 4, 61) (dual of [(56, 4), 103, 62]-NRT-code) [i]
10Linear OOA(3199, 59, F3, 4, 122) (dual of [(59, 4), 37, 123]-NRT-code) [i]
11Linear OOA(3199, 59, F3, 4, 123) (dual of [(59, 4), 37, 124]-NRT-code) [i]
12Linear OOA(3232, 75, F3, 4, 123) (dual of [(75, 4), 68, 124]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
13Linear OOA(3236, 78, F3, 4, 123) (dual of [(78, 4), 76, 124]-NRT-code) [i]
14Linear OOA(3240, 81, F3, 4, 123) (dual of [(81, 4), 84, 124]-NRT-code) [i]
15Linear OOA(3244, 84, F3, 4, 123) (dual of [(84, 4), 92, 124]-NRT-code) [i]
16Linear OOA(3231, 75, F3, 4, 122) (dual of [(75, 4), 69, 123]-NRT-code) [i]
17Linear OOA(3233, 76, F3, 4, 122) (dual of [(76, 4), 71, 123]-NRT-code) [i]
18Linear OOA(3235, 78, F3, 4, 122) (dual of [(78, 4), 77, 123]-NRT-code) [i]
19Linear OOA(3239, 81, F3, 4, 122) (dual of [(81, 4), 85, 123]-NRT-code) [i]
20Linear OOA(3243, 84, F3, 4, 122) (dual of [(84, 4), 93, 123]-NRT-code) [i]
21Linear OOA(3215, 63, F3, 4, 139) (dual of [(63, 4), 37, 140]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
22Linear OOA(3219, 64, F3, 4, 143) (dual of [(64, 4), 37, 144]-NRT-code) [i]