Information on Result #637250
Linear OA(4135, 168, F4, 71) (dual of [168, 33, 72]-code), using concatenation of two codes based on
- linear OA(6417, 28, F64, 17) (dual of [28, 11, 18]-code or 28-arc in PG(16,64)), using
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), using
- Reed–Solomon code RS(47,64) [i]
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), 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(4135, 168, F4, 70) (dual of [168, 33, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4135, 168, F4, 69) (dual of [168, 33, 70]-code) | [i] | ||
| 3 | Linear OA(4136, 169, F4, 71) (dual of [169, 33, 72]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4134, 167, F4, 70) (dual of [167, 33, 71]-code) | [i] | Truncation | |
| 5 | Linear OA(4133, 166, F4, 69) (dual of [166, 33, 70]-code) | [i] | ||
| 6 | Linear OA(4131, 164, F4, 67) (dual of [164, 33, 68]-code) | [i] | ||
| 7 | Linear OA(4130, 163, F4, 66) (dual of [163, 33, 67]-code) | [i] | ||
| 8 | Linear OA(4136, 170, F4, 71) (dual of [170, 34, 72]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4135, 84, F4, 2, 71) (dual of [(84, 2), 33, 72]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4135, 56, F4, 3, 71) (dual of [(56, 3), 33, 72]-NRT-code) | [i] | ||