Information on Result #615552

Linear OA(937, 6561, F9, 11) (dual of [6561, 6524, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(937, 3397, F9, 2, 11) (dual of [(3397, 2), 6757, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(937, 3397, F9, 3, 11) (dual of [(3397, 3), 10154, 12]-NRT-code) [i]
3Digital (26, 37, 3397)-net over F9 [i]
4Linear OA(941, 6565, F9, 12) (dual of [6565, 6524, 13]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(937, 6565, F9, 11) (dual of [6565, 6528, 12]-code) [i]✔
6Linear OA(946, 6570, F9, 13) (dual of [6570, 6524, 14]-code) [i]✔
7Linear OA(939, 6571, F9, 11) (dual of [6571, 6532, 12]-code) [i]✔
8Linear OA(952, 6576, F9, 14) (dual of [6576, 6524, 15]-code) [i]✔
9Linear OA(941, 6577, F9, 11) (dual of [6577, 6536, 12]-code) [i]✔
10Linear OA(957, 6581, F9, 15) (dual of [6581, 6524, 16]-code) [i]✔
11Linear OA(951, 6572, F9, 14) (dual of [6572, 6521, 15]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(947, 6572, F9, 13) (dual of [6572, 6525, 14]-code) [i]✔
13Linear OOA(937, 1312, F9, 11, 11) (dual of [(1312, 11), 14395, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row