Information on Result #913620
Linear OOA(4241, 125, F4, 2, 183) (dual of [(125, 2), 9, 184]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6422, 25, F64, 22) (dual of [25, 3, 23]-code or 25-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,4) [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(4241, 125, F4, 2, 182) (dual of [(125, 2), 9, 183]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4241, 125, F4, 2, 181) (dual of [(125, 2), 9, 182]-NRT-code) | [i] | ||
| 3 | Linear OOA(4241, 125, F4, 2, 180) (dual of [(125, 2), 9, 181]-NRT-code) | [i] | ||
| 4 | Linear OOA(4241, 125, F4, 2, 179) (dual of [(125, 2), 9, 180]-NRT-code) | [i] | ||
| 5 | Linear OOA(4241, 125, F4, 2, 178) (dual of [(125, 2), 9, 179]-NRT-code) | [i] | ||
| 6 | Linear OOA(4241, 125, F4, 2, 177) (dual of [(125, 2), 9, 178]-NRT-code) | [i] | ||
| 7 | Linear OOA(4242, 125, F4, 2, 183) (dual of [(125, 2), 8, 184]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(4240, 124, F4, 2, 182) (dual of [(124, 2), 8, 183]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(4239, 124, F4, 2, 181) (dual of [(124, 2), 9, 182]-NRT-code) | [i] | ||
| 10 | Linear OOA(4238, 123, F4, 2, 180) (dual of [(123, 2), 8, 181]-NRT-code) | [i] | ||
| 11 | Linear OOA(4237, 123, F4, 2, 179) (dual of [(123, 2), 9, 180]-NRT-code) | [i] | ||
| 12 | Linear OOA(4236, 122, F4, 2, 178) (dual of [(122, 2), 8, 179]-NRT-code) | [i] | ||
| 13 | Linear OOA(4235, 122, F4, 2, 177) (dual of [(122, 2), 9, 178]-NRT-code) | [i] | ||
| 14 | Linear OOA(4234, 121, F4, 2, 176) (dual of [(121, 2), 8, 177]-NRT-code) | [i] | ||
| 15 | Linear OOA(4233, 121, F4, 2, 175) (dual of [(121, 2), 9, 176]-NRT-code) | [i] | ||
| 16 | Linear OOA(4230, 119, F4, 2, 172) (dual of [(119, 2), 8, 173]-NRT-code) | [i] | ||
| 17 | Linear OOA(4229, 119, F4, 2, 171) (dual of [(119, 2), 9, 172]-NRT-code) | [i] | ||
| 18 | Linear OOA(4228, 118, F4, 2, 170) (dual of [(118, 2), 8, 171]-NRT-code) | [i] | ||
| 19 | Linear OOA(4227, 118, F4, 2, 169) (dual of [(118, 2), 9, 170]-NRT-code) | [i] | ||
| 20 | Linear OOA(4226, 117, F4, 2, 168) (dual of [(117, 2), 8, 169]-NRT-code) | [i] | ||
| 21 | Linear OOA(4225, 117, F4, 2, 167) (dual of [(117, 2), 9, 168]-NRT-code) | [i] | ||
| 22 | Linear OOA(4223, 116, F4, 2, 165) (dual of [(116, 2), 9, 166]-NRT-code) | [i] | ||
| 23 | Linear OOA(4259, 134, F4, 2, 192) (dual of [(134, 2), 9, 193]-NRT-code) | [i] | Juxtaposition for OOAs | |