Information on Result #893842
Linear OOA(3220, 4783000, F3, 2, 17) (dual of [(4783000, 2), 9565780, 18]-NRT-code), using trace code based on linear OOA(9110, 2391500, F9, 2, 17) (dual of [(2391500, 2), 4782890, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9110, 4783000, F9, 17) (dual of [4783000, 4782890, 18]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code 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(3221, 4783000, F3, 2, 17) (dual of [(4783000, 2), 9565779, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3220, 2391500, F3, 4, 17) (dual of [(2391500, 4), 9565780, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3220, 1195749, F3, 18, 17) (dual of [(1195749, 18), 21523262, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |