Information on Result #912032
Linear OOA(2228, 120, F2, 2, 129) (dual of [(120, 2), 12, 130]-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(212, 8, F2, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), 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 OOA(2228, 120, F2, 2, 128) (dual of [(120, 2), 12, 129]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2230, 121, F2, 2, 129) (dual of [(121, 2), 12, 130]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2229, 120, F2, 2, 129) (dual of [(120, 2), 11, 130]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2227, 119, F2, 2, 128) (dual of [(119, 2), 11, 129]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2226, 119, F2, 2, 127) (dual of [(119, 2), 12, 128]-NRT-code) | [i] | ||
| 6 | Linear OOA(2225, 118, F2, 2, 126) (dual of [(118, 2), 11, 127]-NRT-code) | [i] | ||
| 7 | Linear OOA(2224, 118, F2, 2, 125) (dual of [(118, 2), 12, 126]-NRT-code) | [i] | ||
| 8 | Linear OOA(2223, 117, F2, 2, 124) (dual of [(117, 2), 11, 125]-NRT-code) | [i] | ||
| 9 | Linear OOA(2221, 116, F2, 2, 122) (dual of [(116, 2), 11, 123]-NRT-code) | [i] | ||
| 10 | Linear OOA(2220, 116, F2, 2, 121) (dual of [(116, 2), 12, 122]-NRT-code) | [i] | ||
| 11 | Linear OOA(2219, 115, F2, 2, 120) (dual of [(115, 2), 11, 121]-NRT-code) | [i] | ||
| 12 | Linear OOA(2218, 115, F2, 2, 119) (dual of [(115, 2), 12, 120]-NRT-code) | [i] | ||
| 13 | Linear OOA(2217, 114, F2, 2, 118) (dual of [(114, 2), 11, 119]-NRT-code) | [i] | ||
| 14 | Linear OOA(2215, 113, F2, 2, 116) (dual of [(113, 2), 11, 117]-NRT-code) | [i] | ||
| 15 | Linear OOA(2214, 113, F2, 2, 115) (dual of [(113, 2), 12, 116]-NRT-code) | [i] | ||
| 16 | Linear OOA(2213, 112, F2, 2, 114) (dual of [(112, 2), 11, 115]-NRT-code) | [i] | ||
| 17 | Linear OOA(2211, 111, F2, 2, 112) (dual of [(111, 2), 11, 113]-NRT-code) | [i] | ||
| 18 | Linear OOA(2209, 110, F2, 2, 110) (dual of [(110, 2), 11, 111]-NRT-code) | [i] | ||
| 19 | Linear OOA(2228, 60, F2, 4, 129) (dual of [(60, 4), 12, 130]-NRT-code) | [i] | OOA Folding | |