Information on Result #707007
Linear OA(4150, 282, F4, 52) (dual of [282, 132, 53]-code), using construction XX applied to C1 = C([52,102]), C2 = C([51,94]), C3 = C1 + C2 = C([52,94]), and C∩ = C1 ∩ C2 = C([51,102]) based on
- linear OA(4137, 255, F4, 51) (dual of [255, 118, 52]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,102}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4125, 255, F4, 44) (dual of [255, 130, 45]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,94}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4139, 255, F4, 52) (dual of [255, 116, 53]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,102}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4123, 255, F4, 43) (dual of [255, 132, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,94}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(411, 25, F4, 7) (dual of [25, 14, 8]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(4150, 141, F4, 2, 52) (dual of [(141, 2), 132, 53]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4150, 94, F4, 3, 52) (dual of [(94, 3), 132, 53]-NRT-code) | [i] | ||