Information on Result #1008653

Linear OOA(2112, 4194303, F2, 3, 9) (dual of [(4194303, 3), 12582797, 10]-NRT-code), using OOAs constructed from BCH codes

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2112, 4194303, F2, 3, 8) (dual of [(4194303, 3), 12582797, 9]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2115, 4194304, F2, 3, 9) (dual of [(4194304, 3), 12582797, 10]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(2113, 4194303, F2, 3, 9) (dual of [(4194303, 3), 12582796, 10]-NRT-code) [i]OOA Duplication
4Linear OOA(2114, 4194303, F2, 3, 9) (dual of [(4194303, 3), 12582795, 10]-NRT-code) [i]
5Linear OOA(2111, 4194302, F2, 3, 8) (dual of [(4194302, 3), 12582795, 9]-NRT-code) [i]Truncation for OOAs
6Linear OOA(2116, 4194306, F2, 3, 9) (dual of [(4194306, 3), 12582802, 10]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(2112, 4194303, F2, 4, 9) (dual of [(4194303, 4), 16777100, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(2112, 4194303, F2, 5, 9) (dual of [(4194303, 5), 20971403, 10]-NRT-code) [i]
9Linear OOA(2112, 4194303, F2, 6, 9) (dual of [(4194303, 6), 25165706, 10]-NRT-code) [i]
10Linear OOA(2112, 4194303, F2, 7, 9) (dual of [(4194303, 7), 29360009, 10]-NRT-code) [i]
11Linear OOA(2112, 4194303, F2, 8, 9) (dual of [(4194303, 8), 33554312, 10]-NRT-code) [i]