Information on Result #913429
Linear OOA(4162, 85, F4, 2, 125) (dual of [(85, 2), 8, 126]-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(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(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(4162, 85, F4, 2, 124) (dual of [(85, 2), 8, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4162, 85, F4, 2, 123) (dual of [(85, 2), 8, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(4162, 85, F4, 2, 122) (dual of [(85, 2), 8, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(4162, 85, F4, 2, 121) (dual of [(85, 2), 8, 122]-NRT-code) | [i] | ||
| 5 | Linear OOA(4162, 85, F4, 2, 120) (dual of [(85, 2), 8, 121]-NRT-code) | [i] | ||
| 6 | Linear OOA(4164, 86, F4, 2, 125) (dual of [(86, 2), 8, 126]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(4166, 87, F4, 2, 125) (dual of [(87, 2), 8, 126]-NRT-code) | [i] | ||
| 8 | Linear OOA(4163, 85, F4, 2, 125) (dual of [(85, 2), 7, 126]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(4161, 84, F4, 2, 124) (dual of [(84, 2), 7, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(4160, 84, F4, 2, 123) (dual of [(84, 2), 8, 124]-NRT-code) | [i] | ||
| 11 | Linear OOA(4159, 83, F4, 2, 122) (dual of [(83, 2), 7, 123]-NRT-code) | [i] | ||
| 12 | Linear OOA(4158, 83, F4, 2, 121) (dual of [(83, 2), 8, 122]-NRT-code) | [i] | ||
| 13 | Linear OOA(4157, 82, F4, 2, 120) (dual of [(82, 2), 7, 121]-NRT-code) | [i] | ||
| 14 | Linear OOA(4156, 82, F4, 2, 119) (dual of [(82, 2), 8, 120]-NRT-code) | [i] | ||
| 15 | Linear OOA(4155, 81, F4, 2, 118) (dual of [(81, 2), 7, 119]-NRT-code) | [i] | ||
| 16 | Linear OOA(4154, 81, F4, 2, 117) (dual of [(81, 2), 8, 118]-NRT-code) | [i] | ||
| 17 | Linear OOA(4153, 80, F4, 2, 116) (dual of [(80, 2), 7, 117]-NRT-code) | [i] | ||
| 18 | Linear OOA(4151, 79, F4, 2, 114) (dual of [(79, 2), 7, 115]-NRT-code) | [i] | ||
| 19 | Linear OOA(4150, 79, F4, 2, 113) (dual of [(79, 2), 8, 114]-NRT-code) | [i] | ||
| 20 | Linear OOA(4149, 78, F4, 2, 112) (dual of [(78, 2), 7, 113]-NRT-code) | [i] | ||
| 21 | Linear OOA(4148, 78, F4, 2, 111) (dual of [(78, 2), 8, 112]-NRT-code) | [i] | ||
| 22 | Linear OOA(4147, 77, F4, 2, 110) (dual of [(77, 2), 7, 111]-NRT-code) | [i] | ||
| 23 | Linear OOA(4146, 77, F4, 2, 109) (dual of [(77, 2), 8, 110]-NRT-code) | [i] | ||
| 24 | Linear OOA(4145, 76, F4, 2, 108) (dual of [(76, 2), 7, 109]-NRT-code) | [i] | ||
| 25 | Linear OOA(4144, 76, F4, 2, 107) (dual of [(76, 2), 8, 108]-NRT-code) | [i] | ||
| 26 | Linear OOA(4143, 75, F4, 2, 106) (dual of [(75, 2), 7, 107]-NRT-code) | [i] | ||
| 27 | Linear OOA(4141, 74, F4, 2, 104) (dual of [(74, 2), 7, 105]-NRT-code) | [i] | ||
| 28 | Linear OOA(4188, 98, F4, 2, 141) (dual of [(98, 2), 8, 142]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 29 | Linear OOA(4190, 99, F4, 2, 143) (dual of [(99, 2), 8, 144]-NRT-code) | [i] | ||
| 30 | Linear OOA(4192, 100, F4, 2, 144) (dual of [(100, 2), 8, 145]-NRT-code) | [i] | ||
| 31 | Linear OOA(4194, 101, F4, 2, 145) (dual of [(101, 2), 8, 146]-NRT-code) | [i] | ||
| 32 | Linear OOA(4196, 102, F4, 2, 147) (dual of [(102, 2), 8, 148]-NRT-code) | [i] | ||