Information on Result #913343
Linear OOA(4128, 68, F4, 2, 97) (dual of [(68, 2), 8, 98]-NRT-code), using concatenation of two NRT-codes 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(46, 4, F4, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,4) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4128, 68, F4, 2, 96) (dual of [(68, 2), 8, 97]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4128, 68, F4, 2, 95) (dual of [(68, 2), 8, 96]-NRT-code) | [i] | ||
| 3 | Linear OOA(4128, 68, F4, 2, 94) (dual of [(68, 2), 8, 95]-NRT-code) | [i] | ||
| 4 | Linear OOA(4129, 68, F4, 2, 97) (dual of [(68, 2), 7, 98]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4127, 67, F4, 2, 96) (dual of [(67, 2), 7, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4126, 67, F4, 2, 95) (dual of [(67, 2), 8, 96]-NRT-code) | [i] | ||
| 7 | Linear OOA(4125, 66, F4, 2, 94) (dual of [(66, 2), 7, 95]-NRT-code) | [i] | ||
| 8 | Linear OOA(4124, 66, F4, 2, 93) (dual of [(66, 2), 8, 94]-NRT-code) | [i] | ||
| 9 | Linear OOA(4123, 65, F4, 2, 92) (dual of [(65, 2), 7, 93]-NRT-code) | [i] | ||
| 10 | Linear OOA(4122, 65, F4, 2, 91) (dual of [(65, 2), 8, 92]-NRT-code) | [i] | ||
| 11 | Linear OOA(4121, 64, F4, 2, 90) (dual of [(64, 2), 7, 91]-NRT-code) | [i] | ||
| 12 | Linear OOA(4119, 63, F4, 2, 88) (dual of [(63, 2), 7, 89]-NRT-code) | [i] | ||
| 13 | Linear OOA(4118, 63, F4, 2, 87) (dual of [(63, 2), 8, 88]-NRT-code) | [i] | ||
| 14 | Linear OOA(4117, 62, F4, 2, 86) (dual of [(62, 2), 7, 87]-NRT-code) | [i] | ||
| 15 | Linear OOA(4116, 62, F4, 2, 85) (dual of [(62, 2), 8, 86]-NRT-code) | [i] | ||
| 16 | Linear OOA(4115, 61, F4, 2, 84) (dual of [(61, 2), 7, 85]-NRT-code) | [i] | ||
| 17 | Linear OOA(4114, 61, F4, 2, 83) (dual of [(61, 2), 8, 84]-NRT-code) | [i] | ||
| 18 | Linear OOA(4111, 59, F4, 2, 80) (dual of [(59, 2), 7, 81]-NRT-code) | [i] | ||