Information on Result #912906
Linear OOA(3176, 91, F3, 2, 131) (dual of [(91, 2), 6, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2711, 13, F27, 11) (dual of [13, 2, 12]-code or 13-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- Reed–Solomon code RS(16,27) [i]
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), 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(3176, 91, F3, 2, 130) (dual of [(91, 2), 6, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3176, 91, F3, 2, 129) (dual of [(91, 2), 6, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(3176, 91, F3, 2, 128) (dual of [(91, 2), 6, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(3176, 91, F3, 2, 127) (dual of [(91, 2), 6, 128]-NRT-code) | [i] | ||
| 5 | Linear OOA(3176, 91, F3, 2, 126) (dual of [(91, 2), 6, 127]-NRT-code) | [i] | ||
| 6 | Linear OOA(3175, 90, F3, 2, 130) (dual of [(90, 2), 5, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3174, 90, F3, 2, 129) (dual of [(90, 2), 6, 130]-NRT-code) | [i] | ||
| 8 | Linear OOA(3173, 89, F3, 2, 128) (dual of [(89, 2), 5, 129]-NRT-code) | [i] | ||
| 9 | Linear OOA(3172, 89, F3, 2, 127) (dual of [(89, 2), 6, 128]-NRT-code) | [i] | ||
| 10 | Linear OOA(3171, 88, F3, 2, 126) (dual of [(88, 2), 5, 127]-NRT-code) | [i] | ||
| 11 | Linear OOA(3169, 87, F3, 2, 124) (dual of [(87, 2), 5, 125]-NRT-code) | [i] | ||
| 12 | Linear OOA(3168, 87, F3, 2, 123) (dual of [(87, 2), 6, 124]-NRT-code) | [i] | ||
| 13 | Linear OOA(3167, 86, F3, 2, 122) (dual of [(86, 2), 5, 123]-NRT-code) | [i] | ||
| 14 | Linear OOA(3166, 86, F3, 2, 121) (dual of [(86, 2), 6, 122]-NRT-code) | [i] | ||
| 15 | Linear OOA(3165, 85, F3, 2, 120) (dual of [(85, 2), 5, 121]-NRT-code) | [i] | ||
| 16 | Linear OOA(3164, 85, F3, 2, 119) (dual of [(85, 2), 6, 120]-NRT-code) | [i] | ||
| 17 | Linear OOA(3163, 84, F3, 2, 118) (dual of [(84, 2), 5, 119]-NRT-code) | [i] | ||
| 18 | Linear OOA(3161, 83, F3, 2, 116) (dual of [(83, 2), 5, 117]-NRT-code) | [i] | ||
| 19 | Linear OOA(3160, 83, F3, 2, 115) (dual of [(83, 2), 6, 116]-NRT-code) | [i] | ||
| 20 | Linear OOA(3159, 82, F3, 2, 114) (dual of [(82, 2), 5, 115]-NRT-code) | [i] | ||
| 21 | Linear OOA(3158, 82, F3, 2, 113) (dual of [(82, 2), 6, 114]-NRT-code) | [i] | ||
| 22 | Linear OOA(3157, 81, F3, 2, 112) (dual of [(81, 2), 5, 113]-NRT-code) | [i] | ||
| 23 | Linear OOA(3155, 80, F3, 2, 110) (dual of [(80, 2), 5, 111]-NRT-code) | [i] | ||
| 24 | Linear OOA(3153, 79, F3, 2, 108) (dual of [(79, 2), 5, 109]-NRT-code) | [i] | ||