Information on Result #614181

Linear OA(5110, 126, F5, 39) (dual of [126, 16, 40]-code), using the narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [1,36], and minimum distance d ≥ |{1,2,…,34}| + |{−20,17,54,…,0}∖{52,15,−22,−59,30,−7,−44,45,8,−29,60,23,−14,−51,38,53,16,−21,−58,31,−6,−43,46,9,−28,61,24,−13,−50,39,54,17,−20}| = 40 (general Roos-bound)

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(5144, 160, F5, 73) (dual of [160, 16, 74]-code) [i]Construction X with Cyclic Codes