Information on Result #706861
Linear OA(4146, 305, F4, 46) (dual of [305, 159, 47]-code), using construction XX applied to C1 = C([44,85]), C2 = C([52,89]), C3 = C1 + C2 = C([52,85]), and C∩ = C1 ∩ C2 = C([44,89]) based on
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {44,45,…,85}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4107, 255, F4, 38) (dual of [255, 148, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,89}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {44,45,…,89}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,85}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- discarding factors / shortening the dual code based on linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)) (see above)
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(4146, 152, F4, 2, 46) (dual of [(152, 2), 158, 47]-NRT-code) | [i] | OOA Folding | |