Information on Result #738470

Linear OA(2135, 164, F2, 54) (dual of [164, 29, 55]-code), using extended or lengthened BCH codes

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(2135, 164, F2, 53) (dual of [164, 29, 54]-code) [i]Strength Reduction
2Linear OA(2135, 164, F2, 52) (dual of [164, 29, 53]-code) [i]
3Linear OA(2135, 164, F2, 51) (dual of [164, 29, 52]-code) [i]
4Linear OA(2138, 167, F2, 54) (dual of [167, 29, 55]-code) [i]Code Embedding in Larger Space
5Linear OA(2139, 168, F2, 54) (dual of [168, 29, 55]-code) [i]
6Linear OA(2140, 169, F2, 54) (dual of [169, 29, 55]-code) [i]
7Linear OA(2141, 170, F2, 54) (dual of [170, 29, 55]-code) [i]
8Linear OA(2136, 165, F2, 55) (dual of [165, 29, 56]-code) [i]Adding a Parity Check Bit
9Linear OOA(2135, 82, F2, 2, 54) (dual of [(82, 2), 29, 55]-NRT-code) [i]OOA Folding
10Linear OOA(2135, 54, F2, 3, 54) (dual of [(54, 3), 27, 55]-NRT-code) [i]