Information on Result #706645
Linear OA(4128, 298, F4, 40) (dual of [298, 170, 41]-code), using construction XX applied to C1 = C([49,84]), C2 = C([57,89]), C3 = C1 + C2 = C([57,84]), and C∩ = C1 ∩ C2 = C([49,89]) based on
- linear OA(4100, 255, F4, 36) (dual of [255, 155, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,84}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(495, 255, F4, 33) (dual of [255, 160, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,89}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,89}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(482, 255, F4, 28) (dual of [255, 173, 29]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,84}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- 4 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]
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-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(4128, 149, F4, 2, 40) (dual of [(149, 2), 170, 41]-NRT-code) | [i] | OOA Folding | |