Information on Result #684499

Linear OA(770, 5764831, F7, 10) (dual of [5764831, 5764761, 11]-code), using construction XX applied to Ce(9) ⊂ Ce(5) ⊂ Ce(4) based on
  1. linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(741, 5764801, F7, 6) (dual of [5764801, 5764760, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(733, 5764801, F7, 5) (dual of [5764801, 5764768, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  4. linear OA(74, 29, F7, 3) (dual of [29, 25, 4]-code or 29-cap in PG(3,7)), using
  5. linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), 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(770, 5764831, F7, 2, 10) (dual of [(5764831, 2), 11529592, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(770, 5764831, F7, 3, 10) (dual of [(5764831, 3), 17294423, 11]-NRT-code) [i]
3Digital (60, 70, 5764831)-net over F7 [i]
4Linear OOA(770, 2882415, F7, 2, 10) (dual of [(2882415, 2), 5764760, 11]-NRT-code) [i]OOA Folding
5Linear OOA(770, 1921610, F7, 3, 10) (dual of [(1921610, 3), 5764760, 11]-NRT-code) [i]
6Linear OOA(770, 1152966, F7, 10, 10) (dual of [(1152966, 10), 11529590, 11]-NRT-code) [i]OA Folding and Stacking