Information on Result #681889
Linear OA(4189, 196, F4, 133) (dual of [196, 7, 134]-code), using construction X applied to Ce(140) ⊂ Ce(128) based on
- linear OA(4186, 190, F4, 141) (dual of [190, 4, 142]-code), using an extension Ce(140) of the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,140], and designed minimum distance d ≥ |I|+1 = 141 [i]
- linear OA(4183, 190, F4, 129) (dual of [190, 7, 130]-code), using an extension Ce(128) of the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,128], and designed minimum distance d ≥ |I|+1 = 129 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4189, 196, F4, 132) (dual of [196, 7, 133]-code) | [i] | Strength Reduction | |