Information on Result #621471

Linear OA(8119, 410, F81, 11) (dual of [410, 391, 12]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {1,50,99,…,81}, and designed minimum distance d ≥ |I|+1 = 12

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(8118, 409, F81, 10) (dual of [409, 391, 11]-code) [i]Truncation
2Linear OA(8164, 6972, F81, 23) (dual of [6972, 6908, 24]-code) [i](u, u+v)-Construction
3Linear OA(8162, 6971, F81, 22) (dual of [6971, 6909, 23]-code) [i]
4Linear OA(8164, 6973, F81, 23) (dual of [6973, 6909, 24]-code) [i]
5Linear OA(8165, 6977, F81, 23) (dual of [6977, 6912, 24]-code) [i]
6Linear OA(8162, 6973, F81, 22) (dual of [6973, 6911, 23]-code) [i]
7Linear OOA(8119, 337, F81, 2, 11) (dual of [(337, 2), 655, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(8119, 337, F81, 3, 11) (dual of [(337, 3), 992, 12]-NRT-code) [i]
9Linear OOA(8119, 337, F81, 4, 11) (dual of [(337, 4), 1329, 12]-NRT-code) [i]
10Digital (8, 19, 337)-net over F81 [i]
11Linear OA(8120, 425, F81, 11) (dual of [425, 405, 12]-code) [i]VarÅ¡amov–Edel Lengthening
12Linear OOA(8119, 205, F81, 2, 11) (dual of [(205, 2), 391, 12]-NRT-code) [i]OOA Folding
13Linear OOA(8119, 136, F81, 3, 11) (dual of [(136, 3), 389, 12]-NRT-code) [i]