Information on Result #893834
Linear OOA(3208, 4783002, F3, 2, 16) (dual of [(4783002, 2), 9565796, 17]-NRT-code), using trace code based on linear OOA(9104, 2391501, F9, 2, 16) (dual of [(2391501, 2), 4782898, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9104, 4783002, F9, 16) (dual of [4783002, 4782898, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] 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
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-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(3209, 4783002, F3, 2, 16) (dual of [(4783002, 2), 9565795, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3208, 2391501, F3, 4, 16) (dual of [(2391501, 4), 9565796, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3208, 1195750, F3, 18, 16) (dual of [(1195750, 18), 21523292, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |