Information on Result #2242375
Linear OA(4199, 255, F4, 100) (dual of [255, 56, 101]-code), using 3 times truncation based on linear OA(4202, 258, F4, 103) (dual of [258, 56, 104]-code), using
- construction X applied to Ce(102) ⊂ Ce(101) [i] based on
- linear OA(4202, 256, F4, 103) (dual of [256, 54, 104]-code), using an extension Ce(102) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,102], and designed minimum distance d ≥ |I|+1 = 103 [i]
- 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]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 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 OOA(4199, 85, F4, 3, 100) (dual of [(85, 3), 56, 101]-NRT-code) | [i] | OOA Folding | |