Information on Result #880912

Linear OOA(429, 21, F4, 2, 22) (dual of [(21, 2), 13, 23]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,19P) 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(429, 21, F4, 2, 21) (dual of [(21, 2), 13, 22]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(431, 22, F4, 2, 22) (dual of [(22, 2), 13, 23]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(469, 40, F4, 2, 45) (dual of [(40, 2), 11, 46]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
4Linear OOA(445, 38, F4, 2, 22) (dual of [(38, 2), 31, 23]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(473, 43, F4, 2, 44) (dual of [(43, 2), 13, 45]-NRT-code) [i]
6Linear OOA(4129, 151, F4, 2, 44) (dual of [(151, 2), 173, 45]-NRT-code) [i]
7Linear OOA(474, 44, F4, 2, 45) (dual of [(44, 2), 14, 46]-NRT-code) [i]
8Linear OOA(4131, 151, F4, 2, 45) (dual of [(151, 2), 171, 46]-NRT-code) [i]
9Linear OOA(4149, 84, F4, 2, 89) (dual of [(84, 2), 19, 90]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
10Linear OOA(483, 48, F4, 2, 54) (dual of [(48, 2), 13, 55]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(483, 47, F4, 2, 56) (dual of [(47, 2), 11, 57]-NRT-code) [i]
12Linear OOA(4191, 101, F4, 2, 127) (dual of [(101, 2), 11, 128]-NRT-code) [i]
13Linear OOA(483, 46, F4, 2, 58) (dual of [(46, 2), 9, 59]-NRT-code) [i]
14Linear OOA(2100, 63, F2, 2, 45) (dual of [(63, 2), 26, 46]-NRT-code) [i]Concatenation of Two NRT-Codes
15Linear OOA(298, 60, F2, 2, 45) (dual of [(60, 2), 22, 46]-NRT-code) [i]
16Linear OOA(296, 57, F2, 2, 45) (dual of [(57, 2), 18, 46]-NRT-code) [i]