Information on Result #678430
Linear OA(4123, 262176, F4, 18) (dual of [262176, 262053, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
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 OA(4124, 262177, F4, 18) (dual of [262177, 262053, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4123, 131088, F4, 2, 18) (dual of [(131088, 2), 262053, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4123, 87392, F4, 3, 18) (dual of [(87392, 3), 262053, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(4123, 29130, F4, 18, 18) (dual of [(29130, 18), 524217, 19]-NRT-code) | [i] | OA Folding and Stacking | |