Information on Result #912027
Linear OOA(2196, 104, F2, 2, 109) (dual of [(104, 2), 12, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OOA(212, 8, F2, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), 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(2196, 104, F2, 2, 108) (dual of [(104, 2), 12, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2196, 104, F2, 2, 107) (dual of [(104, 2), 12, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2196, 104, F2, 2, 106) (dual of [(104, 2), 12, 107]-NRT-code) | [i] | ||
| 4 | Linear OOA(2196, 104, F2, 2, 105) (dual of [(104, 2), 12, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(2198, 105, F2, 2, 109) (dual of [(105, 2), 12, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(2200, 106, F2, 2, 109) (dual of [(106, 2), 12, 110]-NRT-code) | [i] | ||
| 7 | Linear OOA(2197, 104, F2, 2, 109) (dual of [(104, 2), 11, 110]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2195, 103, F2, 2, 108) (dual of [(103, 2), 11, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2194, 103, F2, 2, 107) (dual of [(103, 2), 12, 108]-NRT-code) | [i] | ||
| 10 | Linear OOA(2193, 102, F2, 2, 106) (dual of [(102, 2), 11, 107]-NRT-code) | [i] | ||
| 11 | Linear OOA(2192, 102, F2, 2, 105) (dual of [(102, 2), 12, 106]-NRT-code) | [i] | ||
| 12 | Linear OOA(2191, 101, F2, 2, 104) (dual of [(101, 2), 11, 105]-NRT-code) | [i] | ||
| 13 | Linear OOA(2190, 101, F2, 2, 103) (dual of [(101, 2), 12, 104]-NRT-code) | [i] | ||
| 14 | Linear OOA(2189, 100, F2, 2, 102) (dual of [(100, 2), 11, 103]-NRT-code) | [i] | ||
| 15 | Linear OOA(2187, 99, F2, 2, 100) (dual of [(99, 2), 11, 101]-NRT-code) | [i] | ||
| 16 | Linear OOA(2186, 99, F2, 2, 99) (dual of [(99, 2), 12, 100]-NRT-code) | [i] | ||
| 17 | Linear OOA(2185, 98, F2, 2, 98) (dual of [(98, 2), 11, 99]-NRT-code) | [i] | ||
| 18 | Linear OOA(2184, 98, F2, 2, 97) (dual of [(98, 2), 12, 98]-NRT-code) | [i] | ||
| 19 | Linear OOA(2183, 97, F2, 2, 96) (dual of [(97, 2), 11, 97]-NRT-code) | [i] | ||
| 20 | Linear OOA(2182, 97, F2, 2, 95) (dual of [(97, 2), 12, 96]-NRT-code) | [i] | ||
| 21 | Linear OOA(2196, 52, F2, 4, 109) (dual of [(52, 4), 12, 110]-NRT-code) | [i] | OOA Folding | |