Information on Result #629268

Linear OA(243, 51, F2, 23) (dual of [51, 8, 24]-code), using concatenation of two codes based on
  1. linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using
  2. linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using

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.

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(243, 51, F2, 22) (dual of [51, 8, 23]-code) [i]Strength Reduction
2Linear OA(244, 52, F2, 23) (dual of [52, 8, 24]-code) [i]Code Embedding in Larger Space
3Linear OA(245, 53, F2, 23) (dual of [53, 8, 24]-code) [i]
4Linear OA(242, 50, F2, 22) (dual of [50, 8, 23]-code) [i]Truncation
5Linear OA(241, 49, F2, 21) (dual of [49, 8, 22]-code) [i]
6Linear OA(293, 102, F2, 47) (dual of [102, 9, 48]-code) [i](u, u+v)-Construction
7Linear OA(267, 99, F2, 23) (dual of [99, 32, 24]-code) [i]
8Linear OA(220, 27, F2, 11) (dual of [27, 7, 12]-code) [i]Residual Code
9Linear OA(2170, 178, F2, 87) (dual of [178, 8, 88]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(2106, 115, F2, 51) (dual of [115, 9, 52]-code) [i]
11Linear OOA(243, 25, F2, 2, 23) (dual of [(25, 2), 7, 24]-NRT-code) [i]OOA Folding
12Linear OOA(243, 17, F2, 3, 23) (dual of [(17, 3), 8, 24]-NRT-code) [i]