Information on Result #637413
Linear OA(4243, 300, F4, 127) (dual of [300, 57, 128]-code), using concatenation of two codes based on
- linear OA(6431, 50, F64, 31) (dual of [50, 19, 32]-code or 50-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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(4243, 300, F4, 126) (dual of [300, 57, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4244, 301, F4, 127) (dual of [301, 57, 128]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4242, 299, F4, 126) (dual of [299, 57, 127]-code) | [i] | Truncation | |
| 4 | Linear OA(4241, 298, F4, 125) (dual of [298, 57, 126]-code) | [i] | ||
| 5 | Linear OA(4240, 297, F4, 124) (dual of [297, 57, 125]-code) | [i] | ||
| 6 | Linear OA(4239, 296, F4, 123) (dual of [296, 57, 124]-code) | [i] | ||
| 7 | Linear OA(4236, 293, F4, 120) (dual of [293, 57, 121]-code) | [i] | ||
| 8 | Linear OA(4245, 303, F4, 127) (dual of [303, 58, 128]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4243, 150, F4, 2, 127) (dual of [(150, 2), 57, 128]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4243, 100, F4, 3, 127) (dual of [(100, 3), 57, 128]-NRT-code) | [i] | ||