Information on Result #995319

Linear OOA(451, 21, F4, 3, 44) (dual of [(21, 3), 12, 45]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,18P) 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(451, 21, F4, 3, 43) (dual of [(21, 3), 12, 44]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4114, 42, F4, 3, 89) (dual of [(42, 3), 12, 90]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
3Linear OOA(4177, 63, F4, 3, 134) (dual of [(63, 3), 12, 135]-NRT-code) [i]
4Linear OOA(4111, 40, F4, 3, 89) (dual of [(40, 3), 9, 90]-NRT-code) [i]
5Linear OOA(4230, 80, F4, 3, 179) (dual of [(80, 3), 10, 180]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
6Linear OOA(4239, 84, F4, 3, 179) (dual of [(84, 3), 13, 180]-NRT-code) [i]
7Linear OOA(4197, 71, F4, 3, 134) (dual of [(71, 3), 16, 135]-NRT-code) [i]
8Linear OOA(4199, 72, F4, 3, 134) (dual of [(72, 3), 17, 135]-NRT-code) [i]
9Linear OOA(4205, 76, F4, 3, 134) (dual of [(76, 3), 23, 135]-NRT-code) [i]
10Linear OOA(496, 36, F4, 3, 74) (dual of [(36, 3), 12, 75]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(499, 37, F4, 3, 76) (dual of [(37, 3), 12, 77]-NRT-code) [i]
12Linear OOA(4102, 38, F4, 3, 79) (dual of [(38, 3), 12, 80]-NRT-code) [i]
13Linear OOA(4132, 48, F4, 3, 104) (dual of [(48, 3), 12, 105]-NRT-code) [i]
14Linear OOA(4135, 49, F4, 3, 105) (dual of [(49, 3), 12, 106]-NRT-code) [i]
15Linear OOA(4213, 75, F4, 3, 164) (dual of [(75, 3), 12, 165]-NRT-code) [i]
16Linear OOA(4219, 77, F4, 3, 168) (dual of [(77, 3), 12, 169]-NRT-code) [i]
17Linear OOA(4249, 87, F4, 3, 190) (dual of [(87, 3), 12, 191]-NRT-code) [i]
18Linear OOA(4132, 47, F4, 3, 107) (dual of [(47, 3), 9, 108]-NRT-code) [i]
19Linear OOA(4213, 74, F4, 3, 170) (dual of [(74, 3), 9, 171]-NRT-code) [i]
20Linear OOA(4215, 76, F4, 3, 164) (dual of [(76, 3), 13, 165]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes