Information on Result #637396
Linear OA(4237, 294, F4, 123) (dual of [294, 57, 124]-code), using concatenation of two codes based on
- linear OA(6430, 49, F64, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4237, 294, F4, 122) (dual of [294, 57, 123]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4237, 294, F4, 121) (dual of [294, 57, 122]-code) | [i] | ||
| 3 | Linear OA(4238, 295, F4, 123) (dual of [295, 57, 124]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4236, 293, F4, 122) (dual of [293, 57, 123]-code) | [i] | Truncation | |
| 5 | Linear OA(4235, 292, F4, 121) (dual of [292, 57, 122]-code) | [i] | ||
| 6 | Linear OA(4234, 291, F4, 120) (dual of [291, 57, 121]-code) | [i] | ||
| 7 | Linear OA(4232, 289, F4, 118) (dual of [289, 57, 119]-code) | [i] | ||
| 8 | Linear OA(4239, 297, F4, 123) (dual of [297, 58, 124]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4237, 147, F4, 2, 123) (dual of [(147, 2), 57, 124]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4237, 98, F4, 3, 123) (dual of [(98, 3), 57, 124]-NRT-code) | [i] | ||