Information on Result #689104

Linear OA(9132, 4782996, F9, 21) (dual of [4782996, 4782864, 22]-code), using construction XX applied to Ce(20) ⊂ Ce(16) ⊂ Ce(15) based on
  1. linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. 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]
  4. linear OA(94, 26, F9, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,9)), using
  5. linear OA(90, 1, F9, 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(9132, 3761623, F9, 2, 21) (dual of [(3761623, 2), 7523114, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9132, 3761623, F9, 3, 21) (dual of [(3761623, 3), 11284737, 22]-NRT-code) [i]
3Digital (111, 132, 3761623)-net over F9 [i]
4Linear OOA(9132, 2391498, F9, 2, 21) (dual of [(2391498, 2), 4782864, 22]-NRT-code) [i]OOA Folding
5Linear OOA(9132, 1594332, F9, 3, 21) (dual of [(1594332, 3), 4782864, 22]-NRT-code) [i]