Information on Result #913621
Linear OOA(4258, 135, F4, 2, 191) (dual of [(135, 2), 12, 192]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6423, 27, F64, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), 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(4258, 135, F4, 2, 190) (dual of [(135, 2), 12, 191]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4258, 135, F4, 2, 189) (dual of [(135, 2), 12, 190]-NRT-code) | [i] | ||
| 3 | Linear OOA(4258, 135, F4, 2, 188) (dual of [(135, 2), 12, 189]-NRT-code) | [i] | ||
| 4 | Linear OOA(4258, 135, F4, 2, 187) (dual of [(135, 2), 12, 188]-NRT-code) | [i] | ||
| 5 | Linear OOA(4258, 135, F4, 2, 186) (dual of [(135, 2), 12, 187]-NRT-code) | [i] | ||
| 6 | Linear OOA(4258, 135, F4, 2, 185) (dual of [(135, 2), 12, 186]-NRT-code) | [i] | ||
| 7 | Linear OOA(4258, 135, F4, 2, 184) (dual of [(135, 2), 12, 185]-NRT-code) | [i] | ||
| 8 | Linear OOA(4260, 136, F4, 2, 191) (dual of [(136, 2), 12, 192]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(4259, 135, F4, 2, 191) (dual of [(135, 2), 11, 192]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(4257, 134, F4, 2, 190) (dual of [(134, 2), 11, 191]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(4256, 134, F4, 2, 189) (dual of [(134, 2), 12, 190]-NRT-code) | [i] | ||
| 12 | Linear OOA(4255, 133, F4, 2, 188) (dual of [(133, 2), 11, 189]-NRT-code) | [i] | ||
| 13 | Linear OOA(4254, 133, F4, 2, 187) (dual of [(133, 2), 12, 188]-NRT-code) | [i] | ||
| 14 | Linear OOA(4253, 132, F4, 2, 186) (dual of [(132, 2), 11, 187]-NRT-code) | [i] | ||
| 15 | Linear OOA(4252, 132, F4, 2, 185) (dual of [(132, 2), 12, 186]-NRT-code) | [i] | ||
| 16 | Linear OOA(4251, 131, F4, 2, 184) (dual of [(131, 2), 11, 185]-NRT-code) | [i] | ||
| 17 | Linear OOA(4250, 131, F4, 2, 183) (dual of [(131, 2), 12, 184]-NRT-code) | [i] | ||
| 18 | Linear OOA(4249, 130, F4, 2, 182) (dual of [(130, 2), 11, 183]-NRT-code) | [i] | ||
| 19 | Linear OOA(4247, 129, F4, 2, 180) (dual of [(129, 2), 11, 181]-NRT-code) | [i] | ||
| 20 | Linear OOA(4246, 129, F4, 2, 179) (dual of [(129, 2), 12, 180]-NRT-code) | [i] | ||
| 21 | Linear OOA(4245, 128, F4, 2, 178) (dual of [(128, 2), 11, 179]-NRT-code) | [i] | ||
| 22 | Linear OOA(4244, 128, F4, 2, 177) (dual of [(128, 2), 12, 178]-NRT-code) | [i] | ||
| 23 | Linear OOA(4243, 127, F4, 2, 176) (dual of [(127, 2), 11, 177]-NRT-code) | [i] | ||
| 24 | Linear OOA(4242, 127, F4, 2, 175) (dual of [(127, 2), 12, 176]-NRT-code) | [i] | ||
| 25 | Linear OOA(4241, 126, F4, 2, 174) (dual of [(126, 2), 11, 175]-NRT-code) | [i] | ||
| 26 | Linear OOA(4240, 126, F4, 2, 173) (dual of [(126, 2), 12, 174]-NRT-code) | [i] | ||
| 27 | Linear OOA(4239, 125, F4, 2, 172) (dual of [(125, 2), 11, 173]-NRT-code) | [i] | ||
| 28 | Linear OOA(4237, 124, F4, 2, 170) (dual of [(124, 2), 11, 171]-NRT-code) | [i] | ||
| 29 | Linear OOA(4236, 124, F4, 2, 169) (dual of [(124, 2), 12, 170]-NRT-code) | [i] | ||
| 30 | Linear OOA(4235, 123, F4, 2, 168) (dual of [(123, 2), 11, 169]-NRT-code) | [i] | ||
| 31 | Linear OOA(4234, 123, F4, 2, 167) (dual of [(123, 2), 12, 168]-NRT-code) | [i] | ||
| 32 | Linear OOA(4233, 122, F4, 2, 166) (dual of [(122, 2), 11, 167]-NRT-code) | [i] | ||
| 33 | Linear OOA(4232, 122, F4, 2, 165) (dual of [(122, 2), 12, 166]-NRT-code) | [i] | ||
| 34 | Linear OOA(4231, 121, F4, 2, 164) (dual of [(121, 2), 11, 165]-NRT-code) | [i] | ||