Information on Result #629442
Linear OA(2192, 204, F2, 93) (dual of [204, 12, 94]-code), using concatenation of two codes based on
- linear OA(462, 68, F4, 46) (dual of [68, 6, 47]-code), using
- residual code [i] based on linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
- an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
- residual code [i] based on linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-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(2192, 102, F2, 2, 93) (dual of [(102, 2), 12, 94]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2192, 68, F2, 3, 93) (dual of [(68, 3), 12, 94]-NRT-code) | [i] | ||