Information on Result #689091

Linear OA(9117, 4783029, F9, 17) (dual of [4783029, 4782912, 18]-code), using construction X applied to Ce(16) ⊂ Ce(9) based on
  1. 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]
  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(911, 60, F9, 6) (dual of [60, 49, 7]-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(9118, 4783030, F9, 17) (dual of [4783030, 4782912, 18]-code) [i]Code Embedding in Larger Space
2Linear OA(9119, 4783031, F9, 17) (dual of [4783031, 4782912, 18]-code) [i]
3Linear OA(9120, 4783032, F9, 17) (dual of [4783032, 4782912, 18]-code) [i]
4Linear OOA(9117, 2391514, F9, 2, 17) (dual of [(2391514, 2), 4782911, 18]-NRT-code) [i]OOA Folding
5Linear OOA(9117, 1594343, F9, 3, 17) (dual of [(1594343, 3), 4782912, 18]-NRT-code) [i]
6Linear OOA(9117, 597878, F9, 17, 17) (dual of [(597878, 17), 10163809, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row