Information on Result #912846
Linear OOA(3188, 100, F3, 2, 131) (dual of [(100, 2), 12, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2721, 25, F27, 21) (dual of [25, 4, 22]-code or 25-arc in PG(20,27)), using
- discarding factors / shortening the dual code based on linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
- Reed–Solomon code RS(6,27) [i]
- discarding factors / shortening the dual code based on linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), 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(3188, 100, F3, 2, 130) (dual of [(100, 2), 12, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3188, 100, F3, 2, 129) (dual of [(100, 2), 12, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(3188, 100, F3, 2, 128) (dual of [(100, 2), 12, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(3188, 100, F3, 2, 127) (dual of [(100, 2), 12, 128]-NRT-code) | [i] | ||
| 5 | Linear OOA(3189, 100, F3, 2, 131) (dual of [(100, 2), 11, 132]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3187, 99, F3, 2, 130) (dual of [(99, 2), 11, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3186, 99, F3, 2, 129) (dual of [(99, 2), 12, 130]-NRT-code) | [i] | ||
| 8 | Linear OOA(3185, 98, F3, 2, 128) (dual of [(98, 2), 11, 129]-NRT-code) | [i] | ||
| 9 | Linear OOA(3184, 98, F3, 2, 127) (dual of [(98, 2), 12, 128]-NRT-code) | [i] | ||
| 10 | Linear OOA(3183, 97, F3, 2, 126) (dual of [(97, 2), 11, 127]-NRT-code) | [i] | ||
| 11 | Linear OOA(3182, 97, F3, 2, 125) (dual of [(97, 2), 12, 126]-NRT-code) | [i] | ||
| 12 | Linear OOA(3181, 96, F3, 2, 124) (dual of [(96, 2), 11, 125]-NRT-code) | [i] | ||
| 13 | Linear OOA(3179, 95, F3, 2, 122) (dual of [(95, 2), 11, 123]-NRT-code) | [i] | ||
| 14 | Linear OOA(3178, 95, F3, 2, 121) (dual of [(95, 2), 12, 122]-NRT-code) | [i] | ||
| 15 | Linear OOA(3177, 94, F3, 2, 120) (dual of [(94, 2), 11, 121]-NRT-code) | [i] | ||
| 16 | Linear OOA(3176, 94, F3, 2, 119) (dual of [(94, 2), 12, 120]-NRT-code) | [i] | ||
| 17 | Linear OOA(3175, 93, F3, 2, 118) (dual of [(93, 2), 11, 119]-NRT-code) | [i] | ||
| 18 | Linear OOA(3174, 93, F3, 2, 117) (dual of [(93, 2), 12, 118]-NRT-code) | [i] | ||
| 19 | Linear OOA(3173, 92, F3, 2, 116) (dual of [(92, 2), 11, 117]-NRT-code) | [i] | ||
| 20 | Linear OOA(3171, 91, F3, 2, 114) (dual of [(91, 2), 11, 115]-NRT-code) | [i] | ||
| 21 | Linear OOA(3188, 50, F3, 4, 131) (dual of [(50, 4), 12, 132]-NRT-code) | [i] | OOA Folding | |