Information on Result #706568
Linear OA(4125, 298, F4, 39) (dual of [298, 173, 40]-code), using construction XX applied to C1 = C([51,85]), C2 = C([60,89]), C3 = C1 + C2 = C([60,85]), and C∩ = C1 ∩ C2 = C([51,89]) based on
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,85}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {60,61,…,89}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,89}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {60,61,…,85}, and designed minimum distance d ≥ |I|+1 = 27 [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, 16, F4, 3) (dual of [16, 12, 4]-code or 16-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(4125, 149, F4, 2, 39) (dual of [(149, 2), 173, 40]-NRT-code) | [i] | OOA Folding | |