Information on Result #706988
Linear OA(4145, 288, F4, 48) (dual of [288, 143, 49]-code), using construction XX applied to C1 = C([251,40]), C2 = C([1,44]), C3 = C1 + C2 = C([1,40]), and C∩ = C1 ∩ C2 = C([251,44]) based on
- 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(4124, 255, F4, 44) (dual of [255, 131, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4137, 255, F4, 49) (dual of [255, 118, 50]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,44}, and designed minimum distance d ≥ |I|+1 = 50 [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(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- 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(4145, 144, F4, 2, 48) (dual of [(144, 2), 143, 49]-NRT-code) | [i] | OOA Folding | |