Information on Result #2767818
Linear OOA(2253, 72, F2, 4, 141) (dual of [(72, 4), 35, 142]-NRT-code), using strength reduction based on linear OOA(2253, 72, F2, 4, 143) (dual of [(72, 4), 35, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3217, 24, F32, 17) (dual of [24, 7, 18]-code or 24-arc in PG(16,32)), using
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- Reed–Solomon code RS(15,32) [i]
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [i]
- linear OA(3217, 24, F32, 17) (dual of [24, 7, 18]-code or 24-arc in PG(16,32)), 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(2257, 73, F2, 4, 141) (dual of [(73, 4), 35, 142]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2254, 72, F2, 4, 141) (dual of [(72, 4), 34, 142]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2255, 72, F2, 4, 141) (dual of [(72, 4), 33, 142]-NRT-code) | [i] | ||
| 4 | Linear OOA(2252, 71, F2, 4, 140) (dual of [(71, 4), 32, 141]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2251, 71, F2, 4, 139) (dual of [(71, 4), 33, 140]-NRT-code) | [i] | ||
| 6 | Linear OOA(2250, 71, F2, 4, 138) (dual of [(71, 4), 34, 139]-NRT-code) | [i] | ||
| 7 | Linear OOA(2249, 71, F2, 4, 137) (dual of [(71, 4), 35, 138]-NRT-code) | [i] | ||
| 8 | Linear OOA(2248, 70, F2, 4, 136) (dual of [(70, 4), 32, 137]-NRT-code) | [i] | ||
| 9 | Linear OOA(2247, 70, F2, 4, 135) (dual of [(70, 4), 33, 136]-NRT-code) | [i] | ||
| 10 | Linear OOA(2246, 70, F2, 4, 134) (dual of [(70, 4), 34, 135]-NRT-code) | [i] | ||
| 11 | Linear OOA(2245, 70, F2, 4, 133) (dual of [(70, 4), 35, 134]-NRT-code) | [i] | ||
| 12 | Linear OOA(2243, 69, F2, 4, 131) (dual of [(69, 4), 33, 132]-NRT-code) | [i] | ||
| 13 | Linear OOA(2242, 69, F2, 4, 130) (dual of [(69, 4), 34, 131]-NRT-code) | [i] | ||
| 14 | Linear OOA(2240, 68, F2, 4, 128) (dual of [(68, 4), 32, 129]-NRT-code) | [i] | ||
| 15 | Linear OOA(2253, 36, F2, 8, 141) (dual of [(36, 8), 35, 142]-NRT-code) | [i] | OOA Folding | |