Information on Result #1028637
Linear OOA(2152, 56, F2, 3, 87) (dual of [(56, 3), 16, 88]-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(28, 4, F2, 3, 7) (dual of [(4, 3), 4, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-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(2152, 56, F2, 3, 86) (dual of [(56, 3), 16, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2152, 56, F2, 3, 85) (dual of [(56, 3), 16, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(2152, 56, F2, 3, 84) (dual of [(56, 3), 16, 85]-NRT-code) | [i] | ||
| 4 | Linear OOA(2151, 55, F2, 3, 86) (dual of [(55, 3), 14, 87]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2148, 54, F2, 3, 83) (dual of [(54, 3), 14, 84]-NRT-code) | [i] | ||
| 6 | Linear OOA(2146, 54, F2, 3, 81) (dual of [(54, 3), 16, 82]-NRT-code) | [i] | ||
| 7 | Linear OOA(2145, 53, F2, 3, 80) (dual of [(53, 3), 14, 81]-NRT-code) | [i] | ||
| 8 | Linear OOA(2144, 53, F2, 3, 79) (dual of [(53, 3), 15, 80]-NRT-code) | [i] | ||
| 9 | Linear OOA(2143, 53, F2, 3, 78) (dual of [(53, 3), 16, 79]-NRT-code) | [i] | ||
| 10 | Linear OOA(2152, 28, F2, 6, 87) (dual of [(28, 6), 16, 88]-NRT-code) | [i] | OOA Folding | |