Information on Result #2242308
Linear OA(4198, 254, F4, 100) (dual of [254, 56, 101]-code), using 2 times truncation based on linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using
- an extension Ce(101) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [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(4199, 256, F4, 100) (dual of [256, 57, 101]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4198, 127, F4, 2, 100) (dual of [(127, 2), 56, 101]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4198, 84, F4, 3, 100) (dual of [(84, 3), 54, 101]-NRT-code) | [i] | ||