Information on Result #637288
Linear OA(4153, 180, F4, 87) (dual of [180, 27, 88]-code), using concatenation of two codes based on
- linear OA(6421, 30, F64, 21) (dual of [30, 9, 22]-code or 30-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4153, 180, F4, 86) (dual of [180, 27, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4153, 180, F4, 85) (dual of [180, 27, 86]-code) | [i] | ||
| 3 | Linear OA(4154, 181, F4, 87) (dual of [181, 27, 88]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4152, 179, F4, 86) (dual of [179, 27, 87]-code) | [i] | Truncation | |
| 5 | Linear OA(4151, 178, F4, 85) (dual of [178, 27, 86]-code) | [i] | ||
| 6 | Linear OA(4150, 177, F4, 84) (dual of [177, 27, 85]-code) | [i] | ||
| 7 | Linear OA(4149, 176, F4, 83) (dual of [176, 27, 84]-code) | [i] | ||
| 8 | Linear OA(4148, 175, F4, 82) (dual of [175, 27, 83]-code) | [i] | ||
| 9 | Linear OA(4146, 173, F4, 80) (dual of [173, 27, 81]-code) | [i] | ||
| 10 | Linear OOA(4153, 90, F4, 2, 87) (dual of [(90, 2), 27, 88]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4153, 60, F4, 3, 87) (dual of [(60, 3), 27, 88]-NRT-code) | [i] | ||