Information on Result #913231
Linear OOA(3248, 152, F3, 2, 124) (dual of [(152, 2), 56, 125]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8124, 38, F81, 24) (dual of [38, 14, 25]-code or 38-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- linear OOA(34, 4, F3, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,3) [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(3248, 152, F3, 2, 123) (dual of [(152, 2), 56, 124]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3248, 152, F3, 2, 122) (dual of [(152, 2), 56, 123]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 153, F3, 2, 124) (dual of [(153, 2), 56, 125]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3249, 152, F3, 2, 124) (dual of [(152, 2), 55, 125]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3247, 151, F3, 2, 123) (dual of [(151, 2), 55, 124]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3246, 151, F3, 2, 122) (dual of [(151, 2), 56, 123]-NRT-code) | [i] | ||
| 7 | Linear OOA(3245, 150, F3, 2, 121) (dual of [(150, 2), 55, 122]-NRT-code) | [i] | ||
| 8 | Linear OOA(3244, 150, F3, 2, 120) (dual of [(150, 2), 56, 121]-NRT-code) | [i] | ||
| 9 | Linear OOA(3243, 149, F3, 2, 119) (dual of [(149, 2), 55, 120]-NRT-code) | [i] | ||
| 10 | Linear OOA(3242, 149, F3, 2, 118) (dual of [(149, 2), 56, 119]-NRT-code) | [i] | ||
| 11 | Linear OOA(3241, 148, F3, 2, 117) (dual of [(148, 2), 55, 118]-NRT-code) | [i] | ||
| 12 | Linear OOA(3239, 147, F3, 2, 115) (dual of [(147, 2), 55, 116]-NRT-code) | [i] | ||
| 13 | Linear OOA(3248, 76, F3, 4, 124) (dual of [(76, 4), 56, 125]-NRT-code) | [i] | OOA Folding | |