Information on Result #912823
Linear OOA(3164, 88, F3, 2, 113) (dual of [(88, 2), 12, 114]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2718, 22, F27, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,27)), using
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
- Reed–Solomon code RS(9,27) [i]
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [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(3164, 88, F3, 2, 112) (dual of [(88, 2), 12, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3164, 88, F3, 2, 111) (dual of [(88, 2), 12, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(3164, 88, F3, 2, 110) (dual of [(88, 2), 12, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(3164, 88, F3, 2, 109) (dual of [(88, 2), 12, 110]-NRT-code) | [i] | ||
| 5 | Linear OOA(3165, 88, F3, 2, 113) (dual of [(88, 2), 11, 114]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3163, 87, F3, 2, 112) (dual of [(87, 2), 11, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3162, 87, F3, 2, 111) (dual of [(87, 2), 12, 112]-NRT-code) | [i] | ||
| 8 | Linear OOA(3161, 86, F3, 2, 110) (dual of [(86, 2), 11, 111]-NRT-code) | [i] | ||
| 9 | Linear OOA(3160, 86, F3, 2, 109) (dual of [(86, 2), 12, 110]-NRT-code) | [i] | ||
| 10 | Linear OOA(3159, 85, F3, 2, 108) (dual of [(85, 2), 11, 109]-NRT-code) | [i] | ||
| 11 | Linear OOA(3158, 85, F3, 2, 107) (dual of [(85, 2), 12, 108]-NRT-code) | [i] | ||
| 12 | Linear OOA(3157, 84, F3, 2, 106) (dual of [(84, 2), 11, 107]-NRT-code) | [i] | ||
| 13 | Linear OOA(3155, 83, F3, 2, 104) (dual of [(83, 2), 11, 105]-NRT-code) | [i] | ||
| 14 | Linear OOA(3154, 83, F3, 2, 103) (dual of [(83, 2), 12, 104]-NRT-code) | [i] | ||
| 15 | Linear OOA(3153, 82, F3, 2, 102) (dual of [(82, 2), 11, 103]-NRT-code) | [i] | ||
| 16 | Linear OOA(3152, 82, F3, 2, 101) (dual of [(82, 2), 12, 102]-NRT-code) | [i] | ||
| 17 | Linear OOA(3151, 81, F3, 2, 100) (dual of [(81, 2), 11, 101]-NRT-code) | [i] | ||
| 18 | Linear OOA(3150, 81, F3, 2, 99) (dual of [(81, 2), 12, 100]-NRT-code) | [i] | ||
| 19 | Linear OOA(3149, 80, F3, 2, 98) (dual of [(80, 2), 11, 99]-NRT-code) | [i] | ||
| 20 | Linear OOA(3147, 79, F3, 2, 96) (dual of [(79, 2), 11, 97]-NRT-code) | [i] | ||
| 21 | Linear OOA(3164, 44, F3, 4, 113) (dual of [(44, 4), 12, 114]-NRT-code) | [i] | OOA Folding | |