Information on Result #893844
Linear OOA(3222, 4783002, F3, 2, 17) (dual of [(4783002, 2), 9565782, 18]-NRT-code), using trace code based on linear OOA(9111, 2391501, F9, 2, 17) (dual of [(2391501, 2), 4782891, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9111, 4783002, F9, 17) (dual of [4783002, 4782891, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- 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]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3223, 4783002, F3, 2, 17) (dual of [(4783002, 2), 9565781, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3222, 2391501, F3, 4, 17) (dual of [(2391501, 4), 9565782, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3222, 1195750, F3, 18, 17) (dual of [(1195750, 18), 21523278, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |