Information on Result #706943
Linear OA(4146, 299, F4, 47) (dual of [299, 153, 48]-code), using construction XX applied to C1 = C([250,36]), C2 = C([0,41]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([250,41]) 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 = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4133, 255, F4, 47) (dual of [255, 122, 48]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,41}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- 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
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, 149, F4, 2, 47) (dual of [(149, 2), 152, 48]-NRT-code) | [i] | OOA Folding | |