Information on Result #699415

Linear OA(8121, 6561, F81, 11) (dual of [6561, 6540, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OA(8123, 6563, F81, 12) (dual of [6563, 6540, 13]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8121, 6563, F81, 11) (dual of [6563, 6542, 12]-code) [i]✔
3Linear OA(8129, 6569, F81, 14) (dual of [6569, 6540, 15]-code) [i]✔
4Linear OA(8123, 6569, F81, 11) (dual of [6569, 6546, 12]-code) [i]✔
5Linear OA(8135, 6575, F81, 16) (dual of [6575, 6540, 17]-code) [i]✔
6Linear OA(8125, 6575, F81, 11) (dual of [6575, 6550, 12]-code) [i]✔
7Linear OA(8141, 6581, F81, 18) (dual of [6581, 6540, 19]-code) [i]✔
8Linear OA(8147, 6587, F81, 20) (dual of [6587, 6540, 21]-code) [i]✔
9Linear OA(8153, 6593, F81, 22) (dual of [6593, 6540, 23]-code) [i]✔
10Linear OOA(8121, 2187, F81, 3, 11) (dual of [(2187, 3), 6540, 12]-NRT-code) [i]OOA Folding
11Linear OOA(8121, 1640, F81, 4, 11) (dual of [(1640, 4), 6539, 12]-NRT-code) [i]
12Linear OOA(8121, 1312, F81, 11, 11) (dual of [(1312, 11), 14411, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row