Information on Result #1087980
Linear OOA(2217, 63, F2, 4, 119) (dual of [(63, 4), 35, 120]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3214, 21, F32, 14) (dual of [21, 7, 15]-code or 21-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), 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(2217, 63, F2, 4, 118) (dual of [(63, 4), 35, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2217, 63, F2, 4, 117) (dual of [(63, 4), 35, 118]-NRT-code) | [i] | ||
| 3 | Linear OOA(2217, 63, F2, 4, 116) (dual of [(63, 4), 35, 117]-NRT-code) | [i] | ||
| 4 | Linear OOA(2217, 63, F2, 4, 115) (dual of [(63, 4), 35, 116]-NRT-code) | [i] | ||
| 5 | Linear OOA(2217, 63, F2, 4, 114) (dual of [(63, 4), 35, 115]-NRT-code) | [i] | ||
| 6 | Linear OOA(2217, 63, F2, 4, 113) (dual of [(63, 4), 35, 114]-NRT-code) | [i] | ||
| 7 | Linear OOA(2218, 63, F2, 4, 119) (dual of [(63, 4), 34, 120]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2219, 63, F2, 4, 119) (dual of [(63, 4), 33, 120]-NRT-code) | [i] | ||
| 9 | Linear OOA(2220, 63, F2, 4, 119) (dual of [(63, 4), 32, 120]-NRT-code) | [i] | ||
| 10 | Linear OOA(2216, 62, F2, 4, 118) (dual of [(62, 4), 32, 119]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2215, 62, F2, 4, 117) (dual of [(62, 4), 33, 118]-NRT-code) | [i] | ||
| 12 | Linear OOA(2214, 62, F2, 4, 116) (dual of [(62, 4), 34, 117]-NRT-code) | [i] | ||
| 13 | Linear OOA(2213, 62, F2, 4, 115) (dual of [(62, 4), 35, 116]-NRT-code) | [i] | ||
| 14 | Linear OOA(2212, 61, F2, 4, 114) (dual of [(61, 4), 32, 115]-NRT-code) | [i] | ||
| 15 | Linear OOA(2211, 61, F2, 4, 113) (dual of [(61, 4), 33, 114]-NRT-code) | [i] | ||
| 16 | Linear OOA(2210, 61, F2, 4, 112) (dual of [(61, 4), 34, 113]-NRT-code) | [i] | ||
| 17 | Linear OOA(2209, 61, F2, 4, 111) (dual of [(61, 4), 35, 112]-NRT-code) | [i] | ||
| 18 | Linear OOA(2208, 60, F2, 4, 110) (dual of [(60, 4), 32, 111]-NRT-code) | [i] | ||
| 19 | Linear OOA(2207, 60, F2, 4, 109) (dual of [(60, 4), 33, 110]-NRT-code) | [i] | ||
| 20 | Linear OOA(2206, 60, F2, 4, 108) (dual of [(60, 4), 34, 109]-NRT-code) | [i] | ||
| 21 | Linear OOA(2217, 31, F2, 8, 119) (dual of [(31, 8), 31, 120]-NRT-code) | [i] | OOA Folding | |