Information on Result #706825
Linear OA(4132, 292, F4, 43) (dual of [292, 160, 44]-code), using construction XX applied to C1 = C([250,33]), C2 = C([0,37]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([250,37]) based on
- linear OA(4111, 255, F4, 39) (dual of [255, 144, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(4105, 255, F4, 38) (dual of [255, 150, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,37}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-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 OOA(4132, 146, F4, 2, 43) (dual of [(146, 2), 160, 44]-NRT-code) | [i] | OOA Folding | |