Information on Result #2439260
Linear OOA(494, 51, F4, 2, 68) (dual of [(51, 2), 8, 69]-NRT-code), using strength reduction based on linear OOA(494, 51, F4, 2, 69) (dual of [(51, 2), 8, 70]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OOA(44, 3, F4, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(493, 50, F4, 2, 67) (dual of [(50, 2), 7, 68]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(492, 50, F4, 2, 66) (dual of [(50, 2), 8, 67]-NRT-code) | [i] | ||