Information on Result #893854
Linear OOA(3230, 4782978, F3, 2, 19) (dual of [(4782978, 2), 9565726, 20]-NRT-code), using trace code based on linear OOA(9115, 2391489, F9, 2, 19) (dual of [(2391489, 2), 4782863, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9115, 4782978, F9, 19) (dual of [4782978, 4782863, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9115, 4782979, F9, 19) (dual of [4782979, 4782864, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(9115, 4782979, F9, 19) (dual of [4782979, 4782864, 20]-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(3231, 4782978, F3, 2, 19) (dual of [(4782978, 2), 9565725, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3230, 2391489, F3, 4, 19) (dual of [(2391489, 4), 9565726, 20]-NRT-code) | [i] | OOA Folding | |