Information on Result #2274001
Linear OA(4141, 261, F4, 52) (dual of [261, 120, 53]-code), using 2 times code embedding in larger space based on linear OA(4139, 259, F4, 52) (dual of [259, 120, 53]-code), using
- construction XX applied to C1 = C([52,102]), C2 = C([51,101]), C3 = C1 + C2 = C([52,101]), and C∩ = C1 ∩ C2 = C([51,102]) [i] 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(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 = {51,52,…,101}, and designed minimum distance d ≥ |I|+1 = 52 [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(4135, 255, F4, 50) (dual of [255, 120, 51]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,101}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- 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
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code) (see above)
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(4141, 87, F4, 3, 52) (dual of [(87, 3), 120, 53]-NRT-code) | [i] | OOA Folding | |