Information on Result #706640
Linear OA(4117, 289, F4, 38) (dual of [289, 172, 39]-code), using construction XX applied to C1 = C([52,85]), C2 = C([57,89]), C3 = C1 + C2 = C([57,85]), and C∩ = C1 ∩ C2 = C([52,89]) 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 = {52,53,…,85}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(495, 255, F4, 33) (dual of [255, 160, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,89}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4107, 255, F4, 38) (dual of [255, 148, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,89}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,85}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(46, 18, F4, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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, 144, F4, 2, 38) (dual of [(144, 2), 171, 39]-NRT-code) | [i] | OOA Folding | |