Information on Result #887043

Linear OOA(8124, 64, F8, 2, 115) (dual of [(64, 2), 4, 116]-NRT-code), using algebraic-geometric NRT-code AG(2;F,12P) with known gap numbers based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]

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(8124, 64, F8, 2, 114) (dual of [(64, 2), 4, 115]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8132, 68, F8, 2, 120) (dual of [(68, 2), 4, 121]-NRT-code) [i]Juxtaposition for OOAs
3Linear OOA(8128, 66, F8, 2, 118) (dual of [(66, 2), 4, 119]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
4Linear OOA(8138, 71, F8, 2, 127) (dual of [(71, 2), 4, 128]-NRT-code) [i]
5Linear OOA(8129, 68, F8, 2, 115) (dual of [(68, 2), 7, 116]-NRT-code) [i]
6Linear OOA(8135, 73, F8, 2, 115) (dual of [(73, 2), 11, 116]-NRT-code) [i]
7Linear OOA(8136, 74, F8, 2, 115) (dual of [(74, 2), 12, 116]-NRT-code) [i]
8Linear OOA(8137, 75, F8, 2, 115) (dual of [(75, 2), 13, 116]-NRT-code) [i]
9Linear OOA(8138, 76, F8, 2, 115) (dual of [(76, 2), 14, 116]-NRT-code) [i]
10Linear OOA(8141, 78, F8, 2, 115) (dual of [(78, 2), 15, 116]-NRT-code) [i]
11Linear OOA(8142, 79, F8, 2, 115) (dual of [(79, 2), 16, 116]-NRT-code) [i]
12Linear OOA(8143, 80, F8, 2, 115) (dual of [(80, 2), 17, 116]-NRT-code) [i]
13Linear OOA(8144, 81, F8, 2, 115) (dual of [(81, 2), 18, 116]-NRT-code) [i]
14Linear OOA(8126, 65, F8, 2, 117) (dual of [(65, 2), 4, 118]-NRT-code) [i]Standard Lengthening for NRT-Codes