Information on Result #637400
Linear OA(4225, 270, F4, 123) (dual of [270, 45, 124]-code), using concatenation of two codes based on
- linear OA(6430, 45, F64, 30) (dual of [45, 15, 31]-code or 45-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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(4225, 270, F4, 122) (dual of [270, 45, 123]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4225, 270, F4, 121) (dual of [270, 45, 122]-code) | [i] | ||
| 3 | Linear OA(4226, 271, F4, 123) (dual of [271, 45, 124]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4224, 269, F4, 122) (dual of [269, 45, 123]-code) | [i] | Truncation | |
| 5 | Linear OA(4223, 268, F4, 121) (dual of [268, 45, 122]-code) | [i] | ||
| 6 | Linear OA(4222, 267, F4, 120) (dual of [267, 45, 121]-code) | [i] | ||
| 7 | Linear OA(4221, 266, F4, 119) (dual of [266, 45, 120]-code) | [i] | ||
| 8 | Linear OA(4220, 265, F4, 118) (dual of [265, 45, 119]-code) | [i] | ||
| 9 | Linear OA(4218, 263, F4, 116) (dual of [263, 45, 117]-code) | [i] | ||
| 10 | Linear OOA(4225, 135, F4, 2, 123) (dual of [(135, 2), 45, 124]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4225, 90, F4, 3, 123) (dual of [(90, 3), 45, 124]-NRT-code) | [i] | ||