Information on Result #625544
Linear OA(4121, 128, F4, 87) (dual of [128, 7, 88]-code), using repeating each code word 2 times based on linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
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(4120, 127, F4, 86) (dual of [127, 7, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(4118, 125, F4, 84) (dual of [125, 7, 85]-code) | [i] | ||
| 3 | Linear OA(4116, 123, F4, 82) (dual of [123, 7, 83]-code) | [i] | ||
| 4 | Linear OA(4114, 121, F4, 80) (dual of [121, 7, 81]-code) | [i] | ||
| 5 | Linear OA(4128, 135, F4, 88) (dual of [135, 7, 89]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(4129, 136, F4, 89) (dual of [136, 7, 90]-code) | [i] | ||
| 7 | Linear OOA(4121, 64, F4, 2, 87) (dual of [(64, 2), 7, 88]-NRT-code) | [i] | OOA Folding | |