Information on Result #880910

Linear OOA(427, 21, F4, 2, 20) (dual of [(21, 2), 15, 21]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,21P) 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(427, 21, F4, 2, 19) (dual of [(21, 2), 15, 20]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(429, 22, F4, 2, 20) (dual of [(22, 2), 15, 21]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(467, 40, F4, 2, 40) (dual of [(40, 2), 13, 41]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(468, 42, F4, 2, 40) (dual of [(42, 2), 16, 41]-NRT-code) [i]
5Linear OOA(4119, 151, F4, 2, 40) (dual of [(151, 2), 183, 41]-NRT-code) [i]
6Linear OOA(468, 42, F4, 2, 41) (dual of [(42, 2), 16, 42]-NRT-code) [i]
7Linear OOA(4121, 151, F4, 2, 41) (dual of [(151, 2), 181, 42]-NRT-code) [i]
8Linear OOA(4143, 84, F4, 2, 80) (dual of [(84, 2), 25, 81]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(4106, 63, F4, 2, 61) (dual of [(63, 2), 20, 62]-NRT-code) [i]
10Linear OOA(481, 48, F4, 2, 50) (dual of [(48, 2), 15, 51]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(481, 47, F4, 2, 52) (dual of [(47, 2), 13, 53]-NRT-code) [i]
12Linear OOA(481, 46, F4, 2, 54) (dual of [(46, 2), 11, 55]-NRT-code) [i]
13Linear OOA(296, 63, F2, 2, 41) (dual of [(63, 2), 30, 42]-NRT-code) [i]Concatenation of Two NRT-Codes
14Linear OOA(294, 60, F2, 2, 41) (dual of [(60, 2), 26, 42]-NRT-code) [i]
15Linear OOA(292, 57, F2, 2, 41) (dual of [(57, 2), 22, 42]-NRT-code) [i]