Information on Result #913341
Linear OOA(4114, 60, F4, 2, 90) (dual of [(60, 2), 6, 91]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1612, 15, F16, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- linear OOA(46, 4, F4, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;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 OOA(4114, 60, F4, 2, 89) (dual of [(60, 2), 6, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4114, 60, F4, 2, 88) (dual of [(60, 2), 6, 89]-NRT-code) | [i] | ||
| 3 | Linear OOA(4113, 59, F4, 2, 89) (dual of [(59, 2), 5, 90]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4112, 59, F4, 2, 88) (dual of [(59, 2), 6, 89]-NRT-code) | [i] | ||
| 5 | Linear OOA(4111, 58, F4, 2, 87) (dual of [(58, 2), 5, 88]-NRT-code) | [i] | ||
| 6 | Linear OOA(4110, 58, F4, 2, 86) (dual of [(58, 2), 6, 87]-NRT-code) | [i] | ||
| 7 | Linear OOA(4109, 57, F4, 2, 85) (dual of [(57, 2), 5, 86]-NRT-code) | [i] | ||
| 8 | Linear OOA(4108, 57, F4, 2, 84) (dual of [(57, 2), 6, 85]-NRT-code) | [i] | ||
| 9 | Linear OOA(4107, 56, F4, 2, 83) (dual of [(56, 2), 5, 84]-NRT-code) | [i] | ||
| 10 | Linear OOA(4105, 55, F4, 2, 81) (dual of [(55, 2), 5, 82]-NRT-code) | [i] | ||
| 11 | Linear OOA(4104, 55, F4, 2, 80) (dual of [(55, 2), 6, 81]-NRT-code) | [i] | ||
| 12 | Linear OOA(4103, 54, F4, 2, 79) (dual of [(54, 2), 5, 80]-NRT-code) | [i] | ||
| 13 | Linear OOA(4102, 54, F4, 2, 78) (dual of [(54, 2), 6, 79]-NRT-code) | [i] | ||
| 14 | Linear OOA(4101, 53, F4, 2, 77) (dual of [(53, 2), 5, 78]-NRT-code) | [i] | ||
| 15 | Linear OOA(4100, 53, F4, 2, 76) (dual of [(53, 2), 6, 77]-NRT-code) | [i] | ||
| 16 | Linear OOA(497, 51, F4, 2, 73) (dual of [(51, 2), 5, 74]-NRT-code) | [i] | ||
| 17 | Linear OOA(494, 50, F4, 2, 70) (dual of [(50, 2), 6, 71]-NRT-code) | [i] | ||
| 18 | Linear OOA(492, 49, F4, 2, 68) (dual of [(49, 2), 6, 69]-NRT-code) | [i] | ||