Information on Result #2425245
Linear OOA(2212, 112, F2, 2, 118) (dual of [(112, 2), 12, 119]-NRT-code), using strength reduction based on linear OOA(2212, 112, F2, 2, 119) (dual of [(112, 2), 12, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1611, 14, F16, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- linear OOA(212, 8, F2, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
- linear OA(1611, 14, F16, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), 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(2214, 113, F2, 2, 118) (dual of [(113, 2), 12, 119]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2213, 112, F2, 2, 118) (dual of [(112, 2), 11, 119]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2211, 111, F2, 2, 117) (dual of [(111, 2), 11, 118]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2210, 111, F2, 2, 116) (dual of [(111, 2), 12, 117]-NRT-code) | [i] | ||
| 5 | Linear OOA(2209, 110, F2, 2, 115) (dual of [(110, 2), 11, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(2208, 110, F2, 2, 114) (dual of [(110, 2), 12, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(2207, 109, F2, 2, 113) (dual of [(109, 2), 11, 114]-NRT-code) | [i] | ||
| 8 | Linear OOA(2206, 109, F2, 2, 112) (dual of [(109, 2), 12, 113]-NRT-code) | [i] | ||
| 9 | Linear OOA(2205, 108, F2, 2, 111) (dual of [(108, 2), 11, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2203, 107, F2, 2, 109) (dual of [(107, 2), 11, 110]-NRT-code) | [i] | ||
| 11 | Linear OOA(2202, 107, F2, 2, 108) (dual of [(107, 2), 12, 109]-NRT-code) | [i] | ||
| 12 | Linear OOA(2201, 106, F2, 2, 107) (dual of [(106, 2), 11, 108]-NRT-code) | [i] | ||
| 13 | Linear OOA(2199, 105, F2, 2, 105) (dual of [(105, 2), 11, 106]-NRT-code) | [i] | ||
| 14 | Linear OOA(2212, 56, F2, 4, 118) (dual of [(56, 4), 12, 119]-NRT-code) | [i] | OOA Folding | |