Information on Result #1087845
Linear OOA(2208, 56, F2, 4, 131) (dual of [(56, 4), 16, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OOA(212, 4, F2, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-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(2208, 56, F2, 4, 130) (dual of [(56, 4), 16, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2208, 56, F2, 4, 129) (dual of [(56, 4), 16, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(2208, 56, F2, 4, 128) (dual of [(56, 4), 16, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(2204, 55, F2, 4, 127) (dual of [(55, 4), 16, 128]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2208, 28, F2, 8, 131) (dual of [(28, 8), 16, 132]-NRT-code) | [i] | OOA Folding | |