Information on Result #689083

Linear OA(9106, 4783018, F9, 16) (dual of [4783018, 4782912, 17]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
  1. linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(97, 49, F9, 5) (dual of [49, 42, 6]-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(9107, 4783019, F9, 16) (dual of [4783019, 4782912, 17]-code) [i]Code Embedding in Larger Space
2Linear OA(9108, 4783020, F9, 16) (dual of [4783020, 4782912, 17]-code) [i]
3Linear OA(9109, 4783021, F9, 16) (dual of [4783021, 4782912, 17]-code) [i]
4Linear OA(9110, 4783022, F9, 16) (dual of [4783022, 4782912, 17]-code) [i]
5Linear OOA(9106, 4783018, F9, 2, 16) (dual of [(4783018, 2), 9565930, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(9106, 4783018, F9, 3, 16) (dual of [(4783018, 3), 14348948, 17]-NRT-code) [i]
7Digital (90, 106, 4783018)-net over F9 [i]
8Linear OOA(9106, 2391509, F9, 2, 16) (dual of [(2391509, 2), 4782912, 17]-NRT-code) [i]OOA Folding
9Linear OOA(9106, 1594339, F9, 3, 16) (dual of [(1594339, 3), 4782911, 17]-NRT-code) [i]
10Linear OOA(9106, 597877, F9, 16, 16) (dual of [(597877, 16), 9565926, 17]-NRT-code) [i]OA Folding and Stacking