Information on Result #681878
Linear OA(4208, 218, F4, 142) (dual of [218, 10, 143]-code), using construction X applied to Ce(142) ⊂ Ce(129) based on
- linear OA(4193, 196, F4, 143) (dual of [196, 3, 144]-code), using an extension Ce(142) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,142], and designed minimum distance d ≥ |I|+1 = 143 [i]
- linear OA(4186, 196, F4, 130) (dual of [196, 10, 131]-code), using an extension Ce(129) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,129], and designed minimum distance d ≥ |I|+1 = 130 [i]
- linear OA(415, 22, F4, 11) (dual of [22, 7, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), 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(4208, 218, F4, 141) (dual of [218, 10, 142]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4208, 218, F4, 140) (dual of [218, 10, 141]-code) | [i] | ||
| 3 | Linear OOA(4208, 109, F4, 2, 142) (dual of [(109, 2), 10, 143]-NRT-code) | [i] | OOA Folding | |