Information on Result #689010
Linear OA(9115, 4782979, F9, 19) (dual of [4782979, 4782864, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) 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]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(9115, 2391489, F9, 2, 19) (dual of [(2391489, 2), 4782863, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9115, 1594326, F9, 3, 19) (dual of [(1594326, 3), 4782863, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(9115, 531442, F9, 19, 19) (dual of [(531442, 19), 10097283, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |