Information on Result #1029199
Linear OOA(4221, 75, F4, 3, 195) (dual of [(75, 3), 4, 196]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 15, F16, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,16)), using
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- Reed–Solomon code RS(3,16) [i]
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- linear OOA(413, 5, F4, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,4) [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(4221, 75, F4, 3, 194) (dual of [(75, 3), 4, 195]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4221, 75, F4, 3, 193) (dual of [(75, 3), 4, 194]-NRT-code) | [i] | ||
| 3 | Linear OOA(4221, 75, F4, 3, 192) (dual of [(75, 3), 4, 193]-NRT-code) | [i] | ||
| 4 | Linear OOA(4220, 74, F4, 3, 194) (dual of [(74, 3), 2, 195]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4218, 74, F4, 3, 192) (dual of [(74, 3), 4, 193]-NRT-code) | [i] | ||
| 6 | Linear OOA(4217, 73, F4, 3, 191) (dual of [(73, 3), 2, 192]-NRT-code) | [i] | ||
| 7 | Linear OOA(4215, 73, F4, 3, 189) (dual of [(73, 3), 4, 190]-NRT-code) | [i] | ||
| 8 | Linear OOA(4212, 72, F4, 3, 186) (dual of [(72, 3), 4, 187]-NRT-code) | [i] | ||
| 9 | Linear OOA(4211, 71, F4, 3, 185) (dual of [(71, 3), 2, 186]-NRT-code) | [i] | ||
| 10 | Linear OOA(4210, 71, F4, 3, 184) (dual of [(71, 3), 3, 185]-NRT-code) | [i] | ||
| 11 | Linear OOA(4209, 71, F4, 3, 183) (dual of [(71, 3), 4, 184]-NRT-code) | [i] | ||
| 12 | Linear OOA(4204, 69, F4, 3, 178) (dual of [(69, 3), 3, 179]-NRT-code) | [i] | ||
| 13 | Linear OOA(4203, 69, F4, 3, 177) (dual of [(69, 3), 4, 178]-NRT-code) | [i] | ||
| 14 | Linear OOA(4199, 67, F4, 3, 173) (dual of [(67, 3), 2, 174]-NRT-code) | [i] | ||
| 15 | Linear OOA(4197, 67, F4, 3, 171) (dual of [(67, 3), 4, 172]-NRT-code) | [i] | ||
| 16 | Linear OOA(4184, 62, F4, 3, 158) (dual of [(62, 3), 2, 159]-NRT-code) | [i] | ||
| 17 | Linear OOA(4183, 62, F4, 3, 157) (dual of [(62, 3), 3, 158]-NRT-code) | [i] | ||
| 18 | Linear OOA(4182, 62, F4, 3, 156) (dual of [(62, 3), 4, 157]-NRT-code) | [i] | ||
| 19 | Linear OOA(4181, 61, F4, 3, 155) (dual of [(61, 3), 2, 156]-NRT-code) | [i] | ||
| 20 | Linear OOA(4180, 61, F4, 3, 154) (dual of [(61, 3), 3, 155]-NRT-code) | [i] | ||
| 21 | Linear OOA(4175, 59, F4, 3, 149) (dual of [(59, 3), 2, 150]-NRT-code) | [i] | ||