Information on Result #690155

Linear OA(928, 732, F9, 11) (dual of [732, 704, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
  1. linear OA(928, 729, F9, 11) (dual of [729, 701, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. 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]
  3. linear OA(90, 3, F9, 0) (dual of [3, 3, 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 OA(935, 805, F9, 11) (dual of [805, 770, 12]-code) [i](u, u+v)-Construction
2Linear OA(931, 750, F9, 11) (dual of [750, 719, 12]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(932, 784, F9, 11) (dual of [784, 752, 12]-code) [i]
4Linear OA(933, 865, F9, 11) (dual of [865, 832, 12]-code) [i]
5Linear OA(934, 1018, F9, 11) (dual of [1018, 984, 12]-code) [i]
6Linear OA(935, 1248, F9, 11) (dual of [1248, 1213, 12]-code) [i]
7Linear OA(936, 1548, F9, 11) (dual of [1548, 1512, 12]-code) [i]
8Linear OOA(928, 366, F9, 2, 11) (dual of [(366, 2), 704, 12]-NRT-code) [i]OOA Folding
9Linear OOA(928, 244, F9, 3, 11) (dual of [(244, 3), 704, 12]-NRT-code) [i]