Information on Result #893814
Linear OOA(3178, 4783000, F3, 2, 14) (dual of [(4783000, 2), 9565822, 15]-NRT-code), using trace code based on linear OOA(989, 2391500, F9, 2, 14) (dual of [(2391500, 2), 4782911, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(989, 4783000, F9, 14) (dual of [4783000, 4782911, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(989, 4783001, F9, 14) (dual of [4783001, 4782912, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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]
- 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(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(989, 4783001, F9, 14) (dual of [4783001, 4782912, 15]-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(3179, 4783000, F3, 2, 14) (dual of [(4783000, 2), 9565821, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3178, 2391500, F3, 4, 14) (dual of [(2391500, 4), 9565822, 15]-NRT-code) | [i] | OOA Folding | |