Information on Result #688787

Linear OA(818, 69, F8, 10) (dual of [69, 51, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
  1. linear OA(816, 64, F8, 10) (dual of [64, 48, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(813, 64, F8, 7) (dual of [64, 51, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(82, 5, F8, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,8)), using

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(8159, 32837, F8, 32) (dual of [32837, 32678, 33]-code) [i]Construction X with Cyclic Codes
2Linear OA(8151, 262213, F8, 26) (dual of [262213, 262062, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(8145, 262213, F8, 25) (dual of [262213, 262068, 26]-code) [i]
4Linear OA(8154, 32836, F8, 31) (dual of [32836, 32682, 32]-code) [i]
5Linear OA(8149, 32836, F8, 30) (dual of [32836, 32687, 31]-code) [i]
6Linear OA(8144, 32836, F8, 29) (dual of [32836, 32692, 30]-code) [i]
7Linear OA(8139, 32836, F8, 28) (dual of [32836, 32697, 29]-code) [i]
8Linear OA(8124, 32836, F8, 24) (dual of [32836, 32712, 25]-code) [i]
9Linear OOA(818, 34, F8, 2, 10) (dual of [(34, 2), 50, 11]-NRT-code) [i]OOA Folding
10Linear OOA(818, 23, F8, 3, 10) (dual of [(23, 3), 51, 11]-NRT-code) [i]