Information on Result #2204376
Linear OA(4187, 197, F4, 126) (dual of [197, 10, 127]-code), using strength reduction based on linear OA(4187, 197, F4, 131) (dual of [197, 10, 132]-code), using
- construction X applied to Ce(130) ⊂ Ce(129) [i] based on
- linear OA(4187, 196, F4, 131) (dual of [196, 9, 132]-code), using an extension Ce(130) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [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(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4185, 195, F4, 124) (dual of [195, 10, 125]-code) | [i] | Truncation | |
| 2 | Linear OA(4184, 194, F4, 123) (dual of [194, 10, 124]-code) | [i] | ||
| 3 | Linear OA(4183, 193, F4, 122) (dual of [193, 10, 123]-code) | [i] | ||
| 4 | Linear OA(4182, 192, F4, 121) (dual of [192, 10, 122]-code) | [i] | ||
| 5 | Linear OA(4181, 191, F4, 120) (dual of [191, 10, 121]-code) | [i] | ||