Information on Result #1087969
Linear OOA(2219, 66, F2, 4, 111) (dual of [(66, 4), 45, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3213, 22, F32, 13) (dual of [22, 9, 14]-code or 22-arc in PG(12,32)), using
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- Reed–Solomon code RS(19,32) [i]
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [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(2219, 66, F2, 4, 110) (dual of [(66, 4), 45, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2219, 66, F2, 4, 109) (dual of [(66, 4), 45, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2219, 66, F2, 4, 108) (dual of [(66, 4), 45, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2219, 66, F2, 4, 107) (dual of [(66, 4), 45, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(2219, 66, F2, 4, 106) (dual of [(66, 4), 45, 107]-NRT-code) | [i] | ||
| 6 | Linear OOA(2219, 66, F2, 4, 105) (dual of [(66, 4), 45, 106]-NRT-code) | [i] | ||
| 7 | Linear OOA(2220, 66, F2, 4, 111) (dual of [(66, 4), 44, 112]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2221, 66, F2, 4, 111) (dual of [(66, 4), 43, 112]-NRT-code) | [i] | ||
| 9 | Linear OOA(2222, 66, F2, 4, 111) (dual of [(66, 4), 42, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2218, 65, F2, 4, 110) (dual of [(65, 4), 42, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2217, 65, F2, 4, 109) (dual of [(65, 4), 43, 110]-NRT-code) | [i] | ||
| 12 | Linear OOA(2216, 65, F2, 4, 108) (dual of [(65, 4), 44, 109]-NRT-code) | [i] | ||
| 13 | Linear OOA(2215, 65, F2, 4, 107) (dual of [(65, 4), 45, 108]-NRT-code) | [i] | ||
| 14 | Linear OOA(2214, 64, F2, 4, 106) (dual of [(64, 4), 42, 107]-NRT-code) | [i] | ||
| 15 | Linear OOA(2213, 64, F2, 4, 105) (dual of [(64, 4), 43, 106]-NRT-code) | [i] | ||
| 16 | Linear OOA(2212, 64, F2, 4, 104) (dual of [(64, 4), 44, 105]-NRT-code) | [i] | ||
| 17 | Linear OOA(2211, 64, F2, 4, 103) (dual of [(64, 4), 45, 104]-NRT-code) | [i] | ||
| 18 | Linear OOA(2209, 63, F2, 4, 101) (dual of [(63, 4), 43, 102]-NRT-code) | [i] | ||
| 19 | Linear OOA(2208, 63, F2, 4, 100) (dual of [(63, 4), 44, 101]-NRT-code) | [i] | ||
| 20 | Linear OOA(2219, 33, F2, 7, 111) (dual of [(33, 7), 12, 112]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(2219, 33, F2, 8, 111) (dual of [(33, 8), 45, 112]-NRT-code) | [i] | ||