Information on Result #706507
Linear OA(4113, 288, F4, 36) (dual of [288, 175, 37]-code), using construction XX applied to C1 = C([69,102]), C2 = C([67,94]), C3 = C1 + C2 = C([69,94]), and C∩ = C1 ∩ C2 = C([67,102]) 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, 28) (dual of [255, 172, 29]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {67,68,…,94}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {67,68,…,102}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(477, 255, F4, 26) (dual of [255, 178, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,94}, and designed minimum distance d ≥ |I|+1 = 27 [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(41, 7, F4, 1) (dual of [7, 6, 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
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(4113, 144, F4, 2, 36) (dual of [(144, 2), 175, 37]-NRT-code) | [i] | OOA Folding | |