Information on Result #918245
Linear OOA(4179, 172, F4, 2, 63) (dual of [(172, 2), 165, 64]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(6431, 43, F64, 2, 31) (dual of [(43, 2), 55, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6431, 64, F64, 2, 31) (dual of [(64, 2), 97, 32]-NRT-code), using
- Reed–Solomon NRT-code RS(2;97,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6431, 64, F64, 2, 31) (dual of [(64, 2), 97, 32]-NRT-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OOA(4179, 172, F4, 2, 62) (dual of [(172, 2), 165, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4180, 172, F4, 2, 63) (dual of [(172, 2), 164, 64]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4178, 171, F4, 2, 62) (dual of [(171, 2), 164, 63]-NRT-code) | [i] | Truncation for OOAs | |