Information on Result #880914

Linear OOA(431, 21, F4, 2, 24) (dual of [(21, 2), 11, 25]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,17P) based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, 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(431, 21, F4, 2, 23) (dual of [(21, 2), 11, 24]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(433, 22, F4, 2, 24) (dual of [(22, 2), 11, 25]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(473, 42, F4, 2, 49) (dual of [(42, 2), 11, 50]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
4Linear OOA(448, 38, F4, 2, 24) (dual of [(38, 2), 28, 25]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(449, 39, F4, 2, 24) (dual of [(39, 2), 29, 25]-NRT-code) [i]
6Linear OOA(4139, 151, F4, 2, 48) (dual of [(151, 2), 163, 49]-NRT-code) [i]
7Linear OOA(4141, 151, F4, 2, 49) (dual of [(151, 2), 161, 50]-NRT-code) [i]
8Linear OOA(4114, 63, F4, 2, 74) (dual of [(63, 2), 12, 75]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(465, 38, F4, 2, 43) (dual of [(38, 2), 11, 44]-NRT-code) [i]Juxtaposition for OOAs
10Linear OOA(485, 48, F4, 2, 58) (dual of [(48, 2), 11, 59]-NRT-code) [i]
11Linear OOA(4193, 102, F4, 2, 129) (dual of [(102, 2), 11, 130]-NRT-code) [i]
12Linear OOA(485, 47, F4, 2, 60) (dual of [(47, 2), 9, 61]-NRT-code) [i]
13Linear OOA(4143, 75, F4, 2, 104) (dual of [(75, 2), 7, 105]-NRT-code) [i]
14Linear OOA(2104, 63, F2, 2, 49) (dual of [(63, 2), 22, 50]-NRT-code) [i]Concatenation of Two NRT-Codes
15Linear OOA(2102, 60, F2, 2, 49) (dual of [(60, 2), 18, 50]-NRT-code) [i]