Information on Result #706623
Linear OA(4120, 288, F4, 39) (dual of [288, 168, 40]-code), using construction XX applied to C1 = C([49,85]), C2 = C([56,87]), C3 = C1 + C2 = C([56,85]), and C∩ = C1 ∩ C2 = C([49,87]) based on
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,85}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(495, 255, F4, 32) (dual of [255, 160, 33]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,87}, and designed minimum distance d ≥ |I|+1 = 33 [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 = {49,50,…,87}, and designed minimum distance d ≥ |I|+1 = 40 [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 = {56,57,…,85}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(410, 24, F4, 6) (dual of [24, 14, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 26, F4, 6) (dual of [26, 16, 7]-code), using
- linear OA(41, 9, F4, 1) (dual of [9, 8, 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(4120, 144, F4, 2, 39) (dual of [(144, 2), 168, 40]-NRT-code) | [i] | OOA Folding | |