Information on Result #706898
Linear OA(4135, 290, F4, 45) (dual of [290, 155, 46]-code), using construction XX applied to C1 = C([251,36]), C2 = C([1,40]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([251,40]) based on
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,36}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4112, 255, F4, 40) (dual of [255, 143, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,40}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4100, 255, F4, 36) (dual of [255, 155, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(4136, 291, F4, 45) (dual of [291, 155, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4137, 292, F4, 45) (dual of [292, 155, 46]-code) | [i] | ||
| 3 | Linear OA(4134, 289, F4, 44) (dual of [289, 155, 45]-code) | [i] | Truncation | |
| 4 | Linear OOA(4135, 145, F4, 2, 45) (dual of [(145, 2), 155, 46]-NRT-code) | [i] | OOA Folding | |