Information on Result #706926
Linear OA(4139, 292, F4, 46) (dual of [292, 153, 47]-code), using construction XX applied to C1 = C([250,36]), C2 = C([0,40]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([250,40]) based on
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- 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(4139, 146, F4, 2, 46) (dual of [(146, 2), 153, 47]-NRT-code) | [i] | OOA Folding | |