Information on Result #893793
Linear OOA(3150, 4782994, F3, 2, 12) (dual of [(4782994, 2), 9565838, 13]-NRT-code), using trace code based on linear OOA(975, 2391497, F9, 2, 12) (dual of [(2391497, 2), 4782919, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- 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(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
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(3151, 4782994, F3, 2, 12) (dual of [(4782994, 2), 9565837, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3150, 2391497, F3, 4, 12) (dual of [(2391497, 4), 9565838, 13]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3150, 1594331, F3, 14, 12) (dual of [(1594331, 14), 22320484, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |