Information on Result #706481
Linear OA(4105, 290, F4, 33) (dual of [290, 185, 34]-code), using construction XX applied to C1 = C([251,24]), C2 = C([1,28]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([251,28]) based on
- linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,24}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(482, 255, F4, 28) (dual of [255, 173, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(495, 255, F4, 33) (dual of [255, 160, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(470, 255, F4, 24) (dual of [255, 185, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(46, 19, F4, 4) (dual of [19, 13, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(4106, 291, F4, 33) (dual of [291, 185, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4104, 289, F4, 32) (dual of [289, 185, 33]-code) | [i] | Truncation | |
| 3 | Linear OOA(4105, 145, F4, 2, 33) (dual of [(145, 2), 185, 34]-NRT-code) | [i] | OOA Folding | |