Information on Result #706703
Linear OA(4123, 286, F4, 40) (dual of [286, 163, 41]-code), using construction XX applied to C1 = C([250,30]), C2 = C([0,34]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([250,34]) based on
- linear OA(4107, 255, F4, 36) (dual of [255, 148, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,30}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [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 = {−5,−4,…,34}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(491, 255, F4, 31) (dual of [255, 164, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(44, 10, F4, 3) (dual of [10, 6, 4]-code or 10-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(4123, 143, F4, 2, 40) (dual of [(143, 2), 163, 41]-NRT-code) | [i] | OOA Folding | |