Information on Result #1028668
Linear OOA(2187, 65, F2, 3, 131) (dual of [(65, 3), 8, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 13, F16, 11) (dual of [13, 2, 12]-code or 13-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- 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(2187, 65, F2, 3, 130) (dual of [(65, 3), 8, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 65, F2, 3, 129) (dual of [(65, 3), 8, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(2187, 65, F2, 3, 128) (dual of [(65, 3), 8, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 65, F2, 3, 127) (dual of [(65, 3), 8, 128]-NRT-code) | [i] | ||
| 5 | Linear OOA(2187, 65, F2, 3, 126) (dual of [(65, 3), 8, 127]-NRT-code) | [i] | ||
| 6 | Linear OOA(2187, 65, F2, 3, 125) (dual of [(65, 3), 8, 126]-NRT-code) | [i] | ||
| 7 | Linear OOA(2187, 65, F2, 3, 124) (dual of [(65, 3), 8, 125]-NRT-code) | [i] | ||
| 8 | Linear OOA(2187, 65, F2, 3, 123) (dual of [(65, 3), 8, 124]-NRT-code) | [i] | ||
| 9 | Linear OOA(2187, 65, F2, 3, 122) (dual of [(65, 3), 8, 123]-NRT-code) | [i] | ||
| 10 | Linear OOA(2187, 65, F2, 3, 121) (dual of [(65, 3), 8, 122]-NRT-code) | [i] | ||
| 11 | Linear OOA(2190, 66, F2, 3, 131) (dual of [(66, 3), 8, 132]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2188, 65, F2, 3, 131) (dual of [(65, 3), 7, 132]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2185, 64, F2, 3, 129) (dual of [(64, 3), 7, 130]-NRT-code) | [i] | Truncation for OOAs | |
| 14 | Linear OOA(2184, 64, F2, 3, 128) (dual of [(64, 3), 8, 129]-NRT-code) | [i] | ||
| 15 | Linear OOA(2182, 63, F2, 3, 126) (dual of [(63, 3), 7, 127]-NRT-code) | [i] | ||
| 16 | Linear OOA(2181, 63, F2, 3, 125) (dual of [(63, 3), 8, 126]-NRT-code) | [i] | ||
| 17 | Linear OOA(2179, 62, F2, 3, 123) (dual of [(62, 3), 7, 124]-NRT-code) | [i] | ||
| 18 | Linear OOA(2178, 62, F2, 3, 122) (dual of [(62, 3), 8, 123]-NRT-code) | [i] | ||
| 19 | Linear OOA(2176, 61, F2, 3, 120) (dual of [(61, 3), 7, 121]-NRT-code) | [i] | ||
| 20 | Linear OOA(2175, 61, F2, 3, 119) (dual of [(61, 3), 8, 120]-NRT-code) | [i] | ||
| 21 | Linear OOA(2173, 60, F2, 3, 117) (dual of [(60, 3), 7, 118]-NRT-code) | [i] | ||
| 22 | Linear OOA(2170, 59, F2, 3, 114) (dual of [(59, 3), 7, 115]-NRT-code) | [i] | ||
| 23 | Linear OOA(2169, 59, F2, 3, 113) (dual of [(59, 3), 8, 114]-NRT-code) | [i] | ||
| 24 | Linear OOA(2167, 58, F2, 3, 111) (dual of [(58, 3), 7, 112]-NRT-code) | [i] | ||
| 25 | Linear OOA(2166, 58, F2, 3, 110) (dual of [(58, 3), 8, 111]-NRT-code) | [i] | ||
| 26 | Linear OOA(2164, 57, F2, 3, 108) (dual of [(57, 3), 7, 109]-NRT-code) | [i] | ||
| 27 | Linear OOA(2163, 57, F2, 3, 107) (dual of [(57, 3), 8, 108]-NRT-code) | [i] | ||
| 28 | Linear OOA(2161, 56, F2, 3, 105) (dual of [(56, 3), 7, 106]-NRT-code) | [i] | ||
| 29 | Linear OOA(2160, 56, F2, 3, 104) (dual of [(56, 3), 8, 105]-NRT-code) | [i] | ||
| 30 | Linear OOA(2158, 55, F2, 3, 102) (dual of [(55, 3), 7, 103]-NRT-code) | [i] | ||