Information on Result #637300
Linear OA(4153, 174, F4, 91) (dual of [174, 21, 92]-code), using concatenation of two codes based on
- linear OA(6422, 29, F64, 22) (dual of [29, 7, 23]-code or 29-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 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, 174, F4, 90) (dual of [174, 21, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4153, 174, F4, 89) (dual of [174, 21, 90]-code) | [i] | ||
| 3 | Linear OA(4154, 175, F4, 91) (dual of [175, 21, 92]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4152, 173, F4, 90) (dual of [173, 21, 91]-code) | [i] | Truncation | |
| 5 | Linear OA(4151, 172, F4, 89) (dual of [172, 21, 90]-code) | [i] | ||
| 6 | Linear OA(4150, 171, F4, 88) (dual of [171, 21, 89]-code) | [i] | ||
| 7 | Linear OA(4149, 170, F4, 87) (dual of [170, 21, 88]-code) | [i] | ||
| 8 | Linear OA(4148, 169, F4, 86) (dual of [169, 21, 87]-code) | [i] | ||
| 9 | Linear OA(4146, 167, F4, 84) (dual of [167, 21, 85]-code) | [i] | ||
| 10 | Linear OOA(4153, 87, F4, 2, 91) (dual of [(87, 2), 21, 92]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4153, 58, F4, 3, 91) (dual of [(58, 3), 21, 92]-NRT-code) | [i] | ||