Information on Result #637483
Linear OA(4246, 276, F4, 147) (dual of [276, 30, 148]-code), using concatenation of two codes based on
- linear OA(6436, 46, F64, 36) (dual of [46, 10, 37]-code or 46-arc in PG(35,64)), using
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
- Reed–Solomon code RS(28,64) [i]
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4246, 276, F4, 146) (dual of [276, 30, 147]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4246, 276, F4, 145) (dual of [276, 30, 146]-code) | [i] | ||
| 3 | Linear OA(4247, 277, F4, 147) (dual of [277, 30, 148]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4245, 275, F4, 146) (dual of [275, 30, 147]-code) | [i] | Truncation | |
| 5 | Linear OA(4244, 274, F4, 145) (dual of [274, 30, 146]-code) | [i] | ||
| 6 | Linear OA(4243, 273, F4, 144) (dual of [273, 30, 145]-code) | [i] | ||
| 7 | Linear OA(4242, 272, F4, 143) (dual of [272, 30, 144]-code) | [i] | ||
| 8 | Linear OA(4241, 271, F4, 142) (dual of [271, 30, 143]-code) | [i] | ||
| 9 | Linear OA(4239, 269, F4, 140) (dual of [269, 30, 141]-code) | [i] | ||
| 10 | Linear OOA(4246, 138, F4, 2, 147) (dual of [(138, 2), 30, 148]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4246, 92, F4, 3, 147) (dual of [(92, 3), 30, 148]-NRT-code) | [i] | ||