Information on Result #681425
Linear OA(4140, 262, F4, 51) (dual of [262, 122, 52]-code), using construction X applied to Ce(50) ⊂ Ce(46) based on
- linear OA(4137, 256, F4, 51) (dual of [256, 119, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4133, 256, F4, 47) (dual of [256, 123, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(4140, 131, F4, 2, 51) (dual of [(131, 2), 122, 52]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(4140, 87, F4, 3, 51) (dual of [(87, 3), 121, 52]-NRT-code) | [i] |