Information on Result #706979
Linear OA(4127, 265, F4, 45) (dual of [265, 138, 46]-code), using construction XX applied to C1 = C([47,89]), C2 = C([45,87]), C3 = C1 + C2 = C([47,87]), and C∩ = C1 ∩ C2 = C([45,89]) based on
- 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 = {47,48,…,89}, and designed minimum distance d ≥ |I|+1 = 44 [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 = {45,46,…,87}, and designed minimum distance d ≥ |I|+1 = 44 [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 = {45,46,…,89}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4117, 255, F4, 41) (dual of [255, 138, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {47,48,…,87}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-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(4127, 132, F4, 2, 45) (dual of [(132, 2), 137, 46]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4127, 88, F4, 3, 45) (dual of [(88, 3), 137, 46]-NRT-code) | [i] | ||