Information on Result #637247
Linear OA(4120, 144, F4, 67) (dual of [144, 24, 68]-code), using concatenation of two codes based on
- linear OA(6416, 24, F64, 16) (dual of [24, 8, 17]-code or 24-arc in PG(15,64)), using
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
- Reed–Solomon code RS(48,64) [i]
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), 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(4120, 144, F4, 66) (dual of [144, 24, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4121, 145, F4, 67) (dual of [145, 24, 68]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4119, 143, F4, 66) (dual of [143, 24, 67]-code) | [i] | Truncation | |
| 4 | Linear OA(4118, 142, F4, 65) (dual of [142, 24, 66]-code) | [i] | ||
| 5 | Linear OA(4117, 141, F4, 64) (dual of [141, 24, 65]-code) | [i] | ||
| 6 | Linear OA(4116, 140, F4, 63) (dual of [140, 24, 64]-code) | [i] | ||
| 7 | Linear OA(4115, 139, F4, 62) (dual of [139, 24, 63]-code) | [i] | ||
| 8 | Linear OA(4113, 137, F4, 60) (dual of [137, 24, 61]-code) | [i] | ||
| 9 | Linear OOA(4120, 72, F4, 2, 67) (dual of [(72, 2), 24, 68]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4120, 48, F4, 3, 67) (dual of [(48, 3), 24, 68]-NRT-code) | [i] | ||