Information on Result #634506
Linear OA(450, 60, F4, 32) (dual of [60, 10, 33]-code), using concatenation of two codes based on
- linear OA(1610, 15, F16, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(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.
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(450, 60, F4, 31) (dual of [60, 10, 32]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(449, 59, F4, 31) (dual of [59, 10, 32]-code) | [i] | Truncation | |
| 3 | Linear OOA(2220, 120, F2, 2, 98) (dual of [(120, 2), 20, 99]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 4 | Linear OOA(2218, 118, F2, 2, 98) (dual of [(118, 2), 18, 99]-NRT-code) | [i] | ||
| 5 | Linear OOA(450, 30, F4, 2, 32) (dual of [(30, 2), 10, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(450, 20, F4, 3, 32) (dual of [(20, 3), 10, 33]-NRT-code) | [i] | ||