Information on Result #637108
Linear OA(4236, 305, F4, 116) (dual of [305, 69, 117]-code), using concatenation of two codes based on
- linear OA(6438, 61, F64, 38) (dual of [61, 23, 39]-code or 61-arc in PG(37,64)), using
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
- Reed–Solomon code RS(26,64) [i]
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
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(4236, 305, F4, 115) (dual of [305, 69, 116]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4237, 306, F4, 116) (dual of [306, 69, 117]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4235, 304, F4, 115) (dual of [304, 69, 116]-code) | [i] | Truncation | |
| 4 | Linear OA(4234, 303, F4, 114) (dual of [303, 69, 115]-code) | [i] | ||
| 5 | Linear OOA(4236, 152, F4, 2, 116) (dual of [(152, 2), 68, 117]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4236, 101, F4, 3, 116) (dual of [(101, 3), 67, 117]-NRT-code) | [i] | ||