Information on Result #1088059
Linear OOA(2246, 78, F2, 4, 111) (dual of [(78, 4), 66, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6415, 26, F64, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;6,2) [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(2246, 78, F2, 4, 110) (dual of [(78, 4), 66, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2246, 78, F2, 4, 109) (dual of [(78, 4), 66, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2246, 78, F2, 4, 108) (dual of [(78, 4), 66, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2246, 78, F2, 4, 107) (dual of [(78, 4), 66, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(2246, 78, F2, 4, 106) (dual of [(78, 4), 66, 107]-NRT-code) | [i] | ||
| 6 | Linear OOA(2250, 79, F2, 4, 111) (dual of [(79, 4), 66, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2248, 78, F2, 4, 111) (dual of [(78, 4), 64, 112]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2249, 78, F2, 4, 111) (dual of [(78, 4), 63, 112]-NRT-code) | [i] | ||
| 9 | Linear OOA(2245, 77, F2, 4, 110) (dual of [(77, 4), 63, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2244, 77, F2, 4, 109) (dual of [(77, 4), 64, 110]-NRT-code) | [i] | ||
| 11 | Linear OOA(2243, 77, F2, 4, 108) (dual of [(77, 4), 65, 109]-NRT-code) | [i] | ||
| 12 | Linear OOA(2242, 77, F2, 4, 107) (dual of [(77, 4), 66, 108]-NRT-code) | [i] | ||
| 13 | Linear OOA(2241, 76, F2, 4, 106) (dual of [(76, 4), 63, 107]-NRT-code) | [i] | ||
| 14 | Linear OOA(2240, 76, F2, 4, 105) (dual of [(76, 4), 64, 106]-NRT-code) | [i] | ||
| 15 | Linear OOA(2239, 76, F2, 4, 104) (dual of [(76, 4), 65, 105]-NRT-code) | [i] | ||
| 16 | Linear OOA(2238, 76, F2, 4, 103) (dual of [(76, 4), 66, 104]-NRT-code) | [i] | ||
| 17 | Linear OOA(2237, 75, F2, 4, 102) (dual of [(75, 4), 63, 103]-NRT-code) | [i] | ||
| 18 | Linear OOA(2236, 75, F2, 4, 101) (dual of [(75, 4), 64, 102]-NRT-code) | [i] | ||
| 19 | Linear OOA(2233, 74, F2, 4, 98) (dual of [(74, 4), 63, 99]-NRT-code) | [i] | ||
| 20 | Linear OOA(2246, 39, F2, 7, 111) (dual of [(39, 7), 27, 112]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(2246, 39, F2, 8, 111) (dual of [(39, 8), 66, 112]-NRT-code) | [i] | ||