Information on Result #688832

Linear OA(849, 74, F8, 31) (dual of [74, 25, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
  1. linear OA(846, 64, F8, 31) (dual of [64, 18, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(852, 80, F8, 31) (dual of [80, 28, 32]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(853, 84, F8, 31) (dual of [84, 31, 32]-code) [i]
3Linear OA(851, 77, F8, 31) (dual of [77, 26, 32]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OOA(849, 37, F8, 2, 31) (dual of [(37, 2), 25, 32]-NRT-code) [i]OOA Folding