Information on Result #706964
Linear OA(4145, 296, F4, 47) (dual of [296, 151, 48]-code), using construction XX applied to C1 = C([69,110]), C2 = C([64,105]), C3 = C1 + C2 = C([69,105]), and C∩ = C1 ∩ C2 = C([64,110]) based on
- linear OA(4119, 255, F4, 42) (dual of [255, 136, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,110}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- 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 = {64,65,…,105}, 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 = {64,65,…,110}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4103, 255, F4, 37) (dual of [255, 152, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,105}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(46, 20, F4, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code) (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, 148, F4, 2, 47) (dual of [(148, 2), 151, 48]-NRT-code) | [i] | OOA Folding | |