Information on Result #2441089
Linear OOA(4162, 85, F4, 2, 122) (dual of [(85, 2), 8, 123]-NRT-code), using strength reduction based on linear OOA(4162, 85, F4, 2, 125) (dual of [(85, 2), 8, 126]-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(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- 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(4163, 85, F4, 2, 122) (dual of [(85, 2), 7, 123]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4161, 84, F4, 2, 121) (dual of [(84, 2), 7, 122]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(4160, 84, F4, 2, 120) (dual of [(84, 2), 8, 121]-NRT-code) | [i] | ||
| 4 | Linear OOA(4159, 83, F4, 2, 119) (dual of [(83, 2), 7, 120]-NRT-code) | [i] | ||
| 5 | Linear OOA(4158, 83, F4, 2, 118) (dual of [(83, 2), 8, 119]-NRT-code) | [i] | ||
| 6 | Linear OOA(4157, 82, F4, 2, 117) (dual of [(82, 2), 7, 118]-NRT-code) | [i] | ||
| 7 | Linear OOA(4156, 82, F4, 2, 116) (dual of [(82, 2), 8, 117]-NRT-code) | [i] | ||
| 8 | Linear OOA(4155, 81, F4, 2, 115) (dual of [(81, 2), 7, 116]-NRT-code) | [i] | ||
| 9 | Linear OOA(4154, 81, F4, 2, 114) (dual of [(81, 2), 8, 115]-NRT-code) | [i] | ||
| 10 | Linear OOA(4153, 80, F4, 2, 113) (dual of [(80, 2), 7, 114]-NRT-code) | [i] | ||