Information on Result #911939
Linear OOA(294, 55, F2, 2, 47) (dual of [(55, 2), 16, 48]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 11, F16, 7) (dual of [11, 4, 8]-code or 11-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(294, 55, F2, 2, 46) (dual of [(55, 2), 16, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(294, 55, F2, 2, 45) (dual of [(55, 2), 16, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(294, 55, F2, 2, 44) (dual of [(55, 2), 16, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(296, 56, F2, 2, 47) (dual of [(56, 2), 16, 48]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(292, 54, F2, 2, 45) (dual of [(54, 2), 16, 46]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(291, 53, F2, 2, 44) (dual of [(53, 2), 15, 45]-NRT-code) | [i] | ||
| 7 | Linear OOA(290, 53, F2, 2, 43) (dual of [(53, 2), 16, 44]-NRT-code) | [i] | ||
| 8 | Linear OOA(289, 52, F2, 2, 42) (dual of [(52, 2), 15, 43]-NRT-code) | [i] | ||