Information on Result #1087989
Linear OOA(2222, 63, F2, 4, 127) (dual of [(63, 4), 30, 128]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3215, 21, F32, 15) (dual of [21, 6, 16]-code or 21-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), 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(2222, 63, F2, 4, 126) (dual of [(63, 4), 30, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 63, F2, 4, 125) (dual of [(63, 4), 30, 126]-NRT-code) | [i] | ||
| 3 | Linear OOA(2222, 63, F2, 4, 124) (dual of [(63, 4), 30, 125]-NRT-code) | [i] | ||
| 4 | Linear OOA(2222, 63, F2, 4, 123) (dual of [(63, 4), 30, 124]-NRT-code) | [i] | ||
| 5 | Linear OOA(2222, 63, F2, 4, 122) (dual of [(63, 4), 30, 123]-NRT-code) | [i] | ||
| 6 | Linear OOA(2222, 63, F2, 4, 121) (dual of [(63, 4), 30, 122]-NRT-code) | [i] | ||
| 7 | Linear OOA(2223, 63, F2, 4, 127) (dual of [(63, 4), 29, 128]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2224, 63, F2, 4, 127) (dual of [(63, 4), 28, 128]-NRT-code) | [i] | ||
| 9 | Linear OOA(2225, 63, F2, 4, 127) (dual of [(63, 4), 27, 128]-NRT-code) | [i] | ||
| 10 | Linear OOA(2221, 62, F2, 4, 126) (dual of [(62, 4), 27, 127]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2220, 62, F2, 4, 125) (dual of [(62, 4), 28, 126]-NRT-code) | [i] | ||
| 12 | Linear OOA(2219, 62, F2, 4, 124) (dual of [(62, 4), 29, 125]-NRT-code) | [i] | ||
| 13 | Linear OOA(2218, 62, F2, 4, 123) (dual of [(62, 4), 30, 124]-NRT-code) | [i] | ||
| 14 | Linear OOA(2217, 61, F2, 4, 122) (dual of [(61, 4), 27, 123]-NRT-code) | [i] | ||
| 15 | Linear OOA(2216, 61, F2, 4, 121) (dual of [(61, 4), 28, 122]-NRT-code) | [i] | ||
| 16 | Linear OOA(2215, 61, F2, 4, 120) (dual of [(61, 4), 29, 121]-NRT-code) | [i] | ||
| 17 | Linear OOA(2214, 61, F2, 4, 119) (dual of [(61, 4), 30, 120]-NRT-code) | [i] | ||
| 18 | Linear OOA(2213, 60, F2, 4, 118) (dual of [(60, 4), 27, 119]-NRT-code) | [i] | ||
| 19 | Linear OOA(2212, 60, F2, 4, 117) (dual of [(60, 4), 28, 118]-NRT-code) | [i] | ||
| 20 | Linear OOA(2211, 60, F2, 4, 116) (dual of [(60, 4), 29, 117]-NRT-code) | [i] | ||
| 21 | Linear OOA(2209, 59, F2, 4, 114) (dual of [(59, 4), 27, 115]-NRT-code) | [i] | ||
| 22 | Linear OOA(2208, 59, F2, 4, 113) (dual of [(59, 4), 28, 114]-NRT-code) | [i] | ||
| 23 | Linear OOA(2207, 59, F2, 4, 112) (dual of [(59, 4), 29, 113]-NRT-code) | [i] | ||
| 24 | Linear OOA(2222, 31, F2, 8, 127) (dual of [(31, 8), 26, 128]-NRT-code) | [i] | OOA Folding | |