Information on Result #1318712

Linear OA(730, 60, F7, 19) (dual of [60, 30, 20]-code), using a “XQR” code from Grassl’s database

Mode: 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(730, 60, F7, 18) (dual of [60, 30, 19]-code) [i]Strength Reduction
2Linear OA(730, 60, F7, 17) (dual of [60, 30, 18]-code) [i]
3Linear OA(731, 61, F7, 19) (dual of [61, 30, 20]-code) [i]Code Embedding in Larger Space
4Linear OA(732, 62, F7, 19) (dual of [62, 30, 20]-code) [i]
5Linear OA(733, 63, F7, 19) (dual of [63, 30, 20]-code) [i]
6Linear OA(729, 59, F7, 18) (dual of [59, 30, 19]-code) [i]Truncation
7Linear OA(728, 58, F7, 17) (dual of [58, 30, 18]-code) [i]
8Linear OA(727, 57, F7, 16) (dual of [57, 30, 17]-code) [i]
9Linear OA(726, 56, F7, 15) (dual of [56, 30, 16]-code) [i]
10Linear OA(736, 73, F7, 19) (dual of [73, 37, 20]-code) [i]VarÅ¡amov–Edel Lengthening
11Linear OA(737, 79, F7, 19) (dual of [79, 42, 20]-code) [i]
12Linear OA(734, 65, F7, 19) (dual of [65, 31, 20]-code) [i]Construction X with VarÅ¡amov Bound
13Linear OOA(730, 30, F7, 2, 19) (dual of [(30, 2), 30, 20]-NRT-code) [i]OOA Folding
14Linear OOA(730, 20, F7, 3, 19) (dual of [(20, 3), 30, 20]-NRT-code) [i]