Information on Result #2766449
Linear OOA(2232, 60, F2, 4, 174) (dual of [(60, 4), 8, 175]-NRT-code), using strength reduction based on linear OOA(2232, 60, F2, 4, 175) (dual of [(60, 4), 8, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1610, 12, F16, 10) (dual of [12, 2, 11]-code or 12-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(216, 5, F2, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1610, 12, F16, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,16)), 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(2233, 60, F2, 4, 174) (dual of [(60, 4), 7, 175]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2229, 59, F2, 4, 171) (dual of [(59, 4), 7, 172]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2228, 59, F2, 4, 170) (dual of [(59, 4), 8, 171]-NRT-code) | [i] | ||
| 4 | Linear OOA(2225, 58, F2, 4, 167) (dual of [(58, 4), 7, 168]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 58, F2, 4, 166) (dual of [(58, 4), 8, 167]-NRT-code) | [i] | ||
| 6 | Linear OOA(2221, 57, F2, 4, 163) (dual of [(57, 4), 7, 164]-NRT-code) | [i] | ||
| 7 | Linear OOA(2220, 57, F2, 4, 162) (dual of [(57, 4), 8, 163]-NRT-code) | [i] | ||
| 8 | Linear OOA(2217, 56, F2, 4, 159) (dual of [(56, 4), 7, 160]-NRT-code) | [i] | ||
| 9 | Linear OOA(2216, 56, F2, 4, 158) (dual of [(56, 4), 8, 159]-NRT-code) | [i] | ||
| 10 | Linear OOA(2213, 55, F2, 4, 155) (dual of [(55, 4), 7, 156]-NRT-code) | [i] | ||
| 11 | Linear OOA(2209, 54, F2, 4, 151) (dual of [(54, 4), 7, 152]-NRT-code) | [i] | ||
| 12 | Linear OOA(2208, 54, F2, 4, 150) (dual of [(54, 4), 8, 151]-NRT-code) | [i] | ||
| 13 | Linear OOA(2204, 53, F2, 4, 146) (dual of [(53, 4), 8, 147]-NRT-code) | [i] | ||
| 14 | Linear OOA(2200, 52, F2, 4, 142) (dual of [(52, 4), 8, 143]-NRT-code) | [i] | ||
| 15 | Linear OOA(2232, 30, F2, 8, 174) (dual of [(30, 8), 8, 175]-NRT-code) | [i] | OOA Folding | |