Information on Result #690254

Linear OA(928, 739, F9, 10) (dual of [739, 711, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
  1. linear OA(925, 729, F9, 10) (dual of [729, 704, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(916, 729, F9, 6) (dual of [729, 713, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(928, 369, F9, 2, 10) (dual of [(369, 2), 710, 11]-NRT-code) [i]OOA Folding
2Linear OOA(928, 246, F9, 3, 10) (dual of [(246, 3), 710, 11]-NRT-code) [i]