Information on Result #610094

Linear OA(215, 18, F2, 9) (dual of [18, 3, 10]-code), using a code of Belov type defined by 3×PG(2,2) ∖ PG(1,2)

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(214, 17, F2, 8) (dual of [17, 3, 9]-code) [i]Truncation
2Linear OA(2250, 274, F2, 105) (dual of [274, 24, 106]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2114, 146, F2, 41) (dual of [146, 32, 42]-code) [i]
4Linear OA(2250, 273, F2, 105) (dual of [273, 23, 106]-code) [i]Construction X with De Boer–Brouwer Codes
5Linear OA(2124, 156, F2, 44) (dual of [156, 32, 45]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(215, 9, F2, 2, 9) (dual of [(9, 2), 3, 10]-NRT-code) [i]OOA Folding
7Linear OOA(215, 6, F2, 3, 9) (dual of [(6, 3), 3, 10]-NRT-code) [i]