Information on Result #942118
Linear OOA(5150, 77, F5, 2, 126) (dual of [(77, 2), 4, 127]-NRT-code), using juxtaposition based on
- linear OOA(54, 4, F5, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 2, 4) (dual of [(5, 2), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;6,5) [i]
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 2, 4) (dual of [(5, 2), 6, 5]-NRT-code), using
- linear OOA(5142, 73, F5, 2, 121) (dual of [(73, 2), 4, 122]-NRT-code), using
- 4 step truncation [i] based on linear OOA(5146, 75, F5, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(2513, 15, F25, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,25)), using
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- Reed–Solomon code RS(12,25) [i]
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- linear OOA(58, 5, F5, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,5) [i]
- linear OA(2513, 15, F25, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,25)), using
- concatenation of two NRT-codes [i] based on
- 4 step truncation [i] based on linear OOA(5146, 75, F5, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code), using
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(5150, 77, F5, 2, 125) (dual of [(77, 2), 4, 126]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5150, 77, F5, 2, 124) (dual of [(77, 2), 4, 125]-NRT-code) | [i] | ||
| 3 | Linear OOA(5144, 74, F5, 2, 120) (dual of [(74, 2), 4, 121]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(5142, 73, F5, 2, 118) (dual of [(73, 2), 4, 119]-NRT-code) | [i] | ||
| 5 | Linear OOA(5138, 71, F5, 2, 114) (dual of [(71, 2), 4, 115]-NRT-code) | [i] | ||
| 6 | Linear OOA(5135, 69, F5, 2, 111) (dual of [(69, 2), 3, 112]-NRT-code) | [i] | ||
| 7 | Linear OOA(5133, 68, F5, 2, 109) (dual of [(68, 2), 3, 110]-NRT-code) | [i] | ||