Information on Result #689058
Linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- 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]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9104, 4783002, F9, 16) (dual of [4783002, 4782898, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9103, 4783001, F9, 2, 16) (dual of [(4783001, 2), 9565899, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9103, 4783001, F9, 3, 16) (dual of [(4783001, 3), 14348900, 17]-NRT-code) | [i] | ||
| 4 | Digital (87, 103, 4783001)-net over F9 | [i] | ||
| 5 | Linear OA(9104, 4783003, F9, 16) (dual of [4783003, 4782899, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(9103, 2391500, F9, 2, 16) (dual of [(2391500, 2), 4782897, 17]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9103, 1594333, F9, 3, 16) (dual of [(1594333, 3), 4782896, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(9103, 597875, F9, 16, 16) (dual of [(597875, 16), 9565897, 17]-NRT-code) | [i] | OA Folding and Stacking | |