Information on Result #678698
Linear OA(4182, 65565, F4, 30) (dual of [65565, 65383, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-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 OOA(4182, 32782, F4, 2, 30) (dual of [(32782, 2), 65382, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4182, 21855, F4, 3, 30) (dual of [(21855, 3), 65383, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(4182, 4371, F4, 30, 30) (dual of [(4371, 30), 130948, 31]-NRT-code) | [i] | OA Folding and Stacking | |