Information on Result #706529
Linear OA(4121, 296, F4, 38) (dual of [296, 175, 39]-code), using construction XX applied to C1 = C([69,102]), C2 = C([65,93]), C3 = C1 + C2 = C([69,93]), and C∩ = C1 ∩ C2 = C([65,102]) based on
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,102}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {65,66,…,93}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4105, 255, F4, 38) (dual of [255, 150, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {65,66,…,102}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(473, 255, F4, 25) (dual of [255, 182, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,93}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(412, 27, F4, 8) (dual of [27, 15, 9]-code), using
- 3 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 3 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-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(4121, 148, F4, 2, 38) (dual of [(148, 2), 175, 39]-NRT-code) | [i] | OOA Folding | |