Information on Result #1028664
Linear OOA(2231, 85, F2, 3, 131) (dual of [(85, 3), 24, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2231, 85, F2, 3, 130) (dual of [(85, 3), 24, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2231, 85, F2, 3, 129) (dual of [(85, 3), 24, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(2231, 85, F2, 3, 128) (dual of [(85, 3), 24, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(2231, 85, F2, 3, 127) (dual of [(85, 3), 24, 128]-NRT-code) | [i] | ||
| 5 | Linear OOA(2231, 85, F2, 3, 126) (dual of [(85, 3), 24, 127]-NRT-code) | [i] | ||
| 6 | Linear OOA(2231, 85, F2, 3, 125) (dual of [(85, 3), 24, 126]-NRT-code) | [i] | ||
| 7 | Linear OOA(2231, 85, F2, 3, 124) (dual of [(85, 3), 24, 125]-NRT-code) | [i] | ||
| 8 | Linear OOA(2234, 86, F2, 3, 131) (dual of [(86, 3), 24, 132]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2232, 85, F2, 3, 131) (dual of [(85, 3), 23, 132]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(2233, 85, F2, 3, 131) (dual of [(85, 3), 22, 132]-NRT-code) | [i] | ||
| 11 | Linear OOA(2230, 84, F2, 3, 130) (dual of [(84, 3), 22, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(2229, 84, F2, 3, 129) (dual of [(84, 3), 23, 130]-NRT-code) | [i] | ||
| 13 | Linear OOA(2228, 84, F2, 3, 128) (dual of [(84, 3), 24, 129]-NRT-code) | [i] | ||
| 14 | Linear OOA(2227, 83, F2, 3, 127) (dual of [(83, 3), 22, 128]-NRT-code) | [i] | ||
| 15 | Linear OOA(2226, 83, F2, 3, 126) (dual of [(83, 3), 23, 127]-NRT-code) | [i] | ||
| 16 | Linear OOA(2225, 83, F2, 3, 125) (dual of [(83, 3), 24, 126]-NRT-code) | [i] | ||
| 17 | Linear OOA(2224, 82, F2, 3, 124) (dual of [(82, 3), 22, 125]-NRT-code) | [i] | ||
| 18 | Linear OOA(2223, 82, F2, 3, 123) (dual of [(82, 3), 23, 124]-NRT-code) | [i] | ||
| 19 | Linear OOA(2222, 82, F2, 3, 122) (dual of [(82, 3), 24, 123]-NRT-code) | [i] | ||
| 20 | Linear OOA(2221, 81, F2, 3, 121) (dual of [(81, 3), 22, 122]-NRT-code) | [i] | ||
| 21 | Linear OOA(2220, 81, F2, 3, 120) (dual of [(81, 3), 23, 121]-NRT-code) | [i] | ||
| 22 | Linear OOA(2231, 42, F2, 6, 131) (dual of [(42, 6), 21, 132]-NRT-code) | [i] | OOA Folding | |