Information on Result #616534

Linear OA(16103, 586, F16, 39) (dual of [586, 483, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(16103, 586, F16, 38) (dual of [586, 483, 39]-code) [i]Strength Reduction
2Linear OA(16104, 587, F16, 40) (dual of [587, 483, 41]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(16105, 591, F16, 39) (dual of [591, 486, 40]-code) [i]
4Linear OA(16108, 591, F16, 41) (dual of [591, 483, 42]-code) [i]
5Linear OA(16106, 595, F16, 39) (dual of [595, 489, 40]-code) [i]
6Linear OA(16112, 595, F16, 42) (dual of [595, 483, 43]-code) [i]
7Linear OA(16107, 599, F16, 39) (dual of [599, 492, 40]-code) [i]
8Linear OA(16116, 599, F16, 43) (dual of [599, 483, 44]-code) [i]
9Linear OA(16120, 603, F16, 44) (dual of [603, 483, 45]-code) [i]
10Linear OA(16125, 608, F16, 45) (dual of [608, 483, 46]-code) [i]
11Linear OOA(16103, 293, F16, 2, 39) (dual of [(293, 2), 483, 40]-NRT-code) [i]OOA Folding