Information on Result #614805

Linear OA(816, 512, F8, 6) (dual of [512, 496, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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(819, 522, F8, 6) (dual of [522, 503, 7]-code) [i](u, u+v)-Construction
2Linear OA(819, 515, F8, 7) (dual of [515, 496, 8]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(816, 515, F8, 6) (dual of [515, 499, 7]-code) [i]
4Linear OA(824, 520, F8, 9) (dual of [520, 496, 10]-code) [i]
5Linear OA(817, 519, F8, 6) (dual of [519, 502, 7]-code) [i]
6Linear OA(828, 522, F8, 10) (dual of [522, 494, 11]-code) [i]
7Linear OA(829, 525, F8, 10) (dual of [525, 496, 11]-code) [i]
8Linear OA(819, 524, F8, 6) (dual of [524, 505, 7]-code) [i]
9Linear OA(833, 527, F8, 11) (dual of [527, 494, 12]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
10Linear OA(830, 527, F8, 10) (dual of [527, 497, 11]-code) [i]
11Linear OA(817, 520, F8, 6) (dual of [520, 503, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes