Information on Result #912904
Linear OOA(3148, 77, F3, 2, 109) (dual of [(77, 2), 6, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(279, 11, F27, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, 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(3148, 77, F3, 2, 108) (dual of [(77, 2), 6, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3148, 77, F3, 2, 107) (dual of [(77, 2), 6, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(3148, 77, F3, 2, 106) (dual of [(77, 2), 6, 107]-NRT-code) | [i] | ||
| 4 | Linear OOA(3148, 77, F3, 2, 105) (dual of [(77, 2), 6, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(3149, 77, F3, 2, 109) (dual of [(77, 2), 5, 110]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3147, 76, F3, 2, 108) (dual of [(76, 2), 5, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3145, 75, F3, 2, 106) (dual of [(75, 2), 5, 107]-NRT-code) | [i] | ||
| 8 | Linear OOA(3144, 75, F3, 2, 105) (dual of [(75, 2), 6, 106]-NRT-code) | [i] | ||
| 9 | Linear OOA(3143, 74, F3, 2, 104) (dual of [(74, 2), 5, 105]-NRT-code) | [i] | ||
| 10 | Linear OOA(3142, 74, F3, 2, 103) (dual of [(74, 2), 6, 104]-NRT-code) | [i] | ||
| 11 | Linear OOA(3141, 73, F3, 2, 102) (dual of [(73, 2), 5, 103]-NRT-code) | [i] | ||
| 12 | Linear OOA(3140, 73, F3, 2, 101) (dual of [(73, 2), 6, 102]-NRT-code) | [i] | ||
| 13 | Linear OOA(3139, 72, F3, 2, 100) (dual of [(72, 2), 5, 101]-NRT-code) | [i] | ||
| 14 | Linear OOA(3137, 71, F3, 2, 98) (dual of [(71, 2), 5, 99]-NRT-code) | [i] | ||
| 15 | Linear OOA(3136, 71, F3, 2, 97) (dual of [(71, 2), 6, 98]-NRT-code) | [i] | ||
| 16 | Linear OOA(3135, 70, F3, 2, 96) (dual of [(70, 2), 5, 97]-NRT-code) | [i] | ||
| 17 | Linear OOA(3133, 69, F3, 2, 94) (dual of [(69, 2), 5, 95]-NRT-code) | [i] | ||
| 18 | Linear OOA(3131, 68, F3, 2, 92) (dual of [(68, 2), 5, 93]-NRT-code) | [i] | ||
| 19 | Linear OOA(3129, 67, F3, 2, 90) (dual of [(67, 2), 5, 91]-NRT-code) | [i] | ||