Information on Result #706758
Linear OA(4117, 275, F4, 40) (dual of [275, 158, 41]-code), using construction XX applied to C1 = C([47,85]), C2 = C([51,86]), C3 = C1 + C2 = C([51,85]), and C∩ = C1 ∩ C2 = C([47,86]) based on
- 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 = {47,48,…,85}, and designed minimum distance d ≥ |I|+1 = 40 [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 = {51,52,…,86}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4113, 255, F4, 40) (dual of [255, 142, 41]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {47,48,…,86}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,85}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 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(4117, 137, F4, 2, 40) (dual of [(137, 2), 157, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4117, 91, F4, 3, 40) (dual of [(91, 3), 156, 41]-NRT-code) | [i] | ||