Information on Result #613053

Linear OA(446, 52, F4, 34) (dual of [52, 6, 35]-code), using an extension Ce(33) of the narrow-sense BCH-code C(I) with length 51 | 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(446, 52, F4, 33) (dual of [52, 6, 34]-code) [i]Strength Reduction
2Linear OA(498, 104, F4, 69) (dual of [104, 6, 70]-code) [i]Repeating Each Code Word
3Linear OA(4126, 132, F4, 90) (dual of [132, 6, 91]-code) [i]Juxtaposition
4Linear OA(4131, 137, F4, 94) (dual of [137, 6, 95]-code) [i]
5Linear OA(4136, 142, F4, 98) (dual of [142, 6, 99]-code) [i]
6Linear OA(2144, 156, F2, 69) (dual of [156, 12, 70]-code) [i]Concatenation of Two Codes
7Linear OOA(2196, 104, F2, 2, 104) (dual of [(104, 2), 12, 105]-NRT-code) [i]Concatenation of Two NRT-Codes
8Linear OOA(446, 26, F4, 2, 34) (dual of [(26, 2), 6, 35]-NRT-code) [i]OOA Folding