Information on Result #913647
Linear OOA(5140, 72, F5, 2, 120) (dual of [(72, 2), 4, 121]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2510, 12, F25, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,25)), using
- discarding factors / shortening the dual code based on linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using
- Reed–Solomon code RS(15,25) [i]
- discarding factors / shortening the dual code based on linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using
- linear OOA(510, 6, F5, 2, 10) (dual of [(6, 2), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,5) [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(5140, 72, F5, 2, 119) (dual of [(72, 2), 4, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5138, 71, F5, 2, 118) (dual of [(71, 2), 4, 119]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(5135, 69, F5, 2, 115) (dual of [(69, 2), 3, 116]-NRT-code) | [i] | ||
| 4 | Linear OOA(5134, 69, F5, 2, 114) (dual of [(69, 2), 4, 115]-NRT-code) | [i] | ||
| 5 | Linear OOA(5133, 68, F5, 2, 113) (dual of [(68, 2), 3, 114]-NRT-code) | [i] | ||
| 6 | Linear OOA(5132, 68, F5, 2, 112) (dual of [(68, 2), 4, 113]-NRT-code) | [i] | ||
| 7 | Linear OOA(5131, 67, F5, 2, 111) (dual of [(67, 2), 3, 112]-NRT-code) | [i] | ||
| 8 | Linear OOA(5130, 67, F5, 2, 110) (dual of [(67, 2), 4, 111]-NRT-code) | [i] | ||
| 9 | Linear OOA(5122, 63, F5, 2, 102) (dual of [(63, 2), 4, 103]-NRT-code) | [i] | ||
| 10 | Linear OOA(5120, 62, F5, 2, 100) (dual of [(62, 2), 4, 101]-NRT-code) | [i] | ||
| 11 | Linear OOA(5118, 61, F5, 2, 98) (dual of [(61, 2), 4, 99]-NRT-code) | [i] | ||
| 12 | Linear OOA(5115, 59, F5, 2, 95) (dual of [(59, 2), 3, 96]-NRT-code) | [i] | ||
| 13 | Linear OOA(5113, 58, F5, 2, 93) (dual of [(58, 2), 3, 94]-NRT-code) | [i] | ||
| 14 | Linear OOA(5111, 57, F5, 2, 91) (dual of [(57, 2), 3, 92]-NRT-code) | [i] | ||
| 15 | Linear OOA(5150, 77, F5, 2, 127) (dual of [(77, 2), 4, 128]-NRT-code) | [i] | Juxtaposition for OOAs | |