Information on Result #994306

Linear OOA(227, 12, F2, 3, 18) (dual of [(12, 3), 9, 19]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,17P) based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, 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(227, 12, F2, 3, 17) (dual of [(12, 3), 9, 18]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(263, 24, F2, 3, 37) (dual of [(24, 3), 9, 38]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
3Linear OOA(2135, 48, F2, 3, 75) (dual of [(48, 3), 9, 76]-NRT-code) [i]
4Linear OOA(2207, 72, F2, 3, 113) (dual of [(72, 3), 9, 114]-NRT-code) [i]
5Linear OOA(2243, 84, F2, 3, 132) (dual of [(84, 3), 9, 133]-NRT-code) [i]
6Linear OOA(263, 24, F2, 3, 36) (dual of [(24, 3), 9, 37]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(265, 25, F2, 3, 36) (dual of [(25, 3), 10, 37]-NRT-code) [i]
8Linear OOA(265, 25, F2, 3, 37) (dual of [(25, 3), 10, 38]-NRT-code) [i]
9Linear OOA(257, 22, F2, 3, 34) (dual of [(22, 3), 9, 35]-NRT-code) [i]Juxtaposition for OOAs
10Linear OOA(287, 32, F2, 3, 51) (dual of [(32, 3), 9, 52]-NRT-code) [i]
11Linear OOA(2129, 46, F2, 3, 74) (dual of [(46, 3), 9, 75]-NRT-code) [i]
12Linear OOA(2180, 63, F2, 3, 102) (dual of [(63, 3), 9, 103]-NRT-code) [i]
13Linear OOA(2207, 72, F2, 3, 117) (dual of [(72, 3), 9, 118]-NRT-code) [i]
14Linear OOA(2210, 73, F2, 3, 118) (dual of [(73, 3), 9, 119]-NRT-code) [i]
15Linear OOA(2237, 82, F2, 3, 133) (dual of [(82, 3), 9, 134]-NRT-code) [i]
16Linear OOA(227, 6, F2, 5, 18) (dual of [(6, 5), 3, 19]-NRT-code) [i]OOA Folding
17Linear OOA(227, 6, F2, 6, 18) (dual of [(6, 6), 9, 19]-NRT-code) [i]