Information on Result #1028663
Linear OOA(2172, 60, F2, 3, 120) (dual of [(60, 3), 8, 121]-NRT-code), using concatenation of two NRT-codes 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(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;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(2172, 60, F2, 3, 119) (dual of [(60, 3), 8, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2172, 60, F2, 3, 118) (dual of [(60, 3), 8, 119]-NRT-code) | [i] | ||
| 3 | Linear OOA(2172, 60, F2, 3, 117) (dual of [(60, 3), 8, 118]-NRT-code) | [i] | ||
| 4 | Linear OOA(2172, 60, F2, 3, 116) (dual of [(60, 3), 8, 117]-NRT-code) | [i] | ||
| 5 | Linear OOA(2172, 60, F2, 3, 115) (dual of [(60, 3), 8, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(2172, 60, F2, 3, 114) (dual of [(60, 3), 8, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(2172, 60, F2, 3, 113) (dual of [(60, 3), 8, 114]-NRT-code) | [i] | ||
| 8 | Linear OOA(2172, 60, F2, 3, 112) (dual of [(60, 3), 8, 113]-NRT-code) | [i] | ||
| 9 | Linear OOA(2172, 60, F2, 3, 111) (dual of [(60, 3), 8, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2172, 60, F2, 3, 110) (dual of [(60, 3), 8, 111]-NRT-code) | [i] | ||
| 11 | Linear OOA(2175, 61, F2, 3, 120) (dual of [(61, 3), 8, 121]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2173, 60, F2, 3, 120) (dual of [(60, 3), 7, 121]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2170, 59, F2, 3, 118) (dual of [(59, 3), 7, 119]-NRT-code) | [i] | Truncation for OOAs | |
| 14 | Linear OOA(2169, 59, F2, 3, 117) (dual of [(59, 3), 8, 118]-NRT-code) | [i] | ||
| 15 | Linear OOA(2167, 58, F2, 3, 115) (dual of [(58, 3), 7, 116]-NRT-code) | [i] | ||
| 16 | Linear OOA(2166, 58, F2, 3, 114) (dual of [(58, 3), 8, 115]-NRT-code) | [i] | ||
| 17 | Linear OOA(2164, 57, F2, 3, 112) (dual of [(57, 3), 7, 113]-NRT-code) | [i] | ||
| 18 | Linear OOA(2163, 57, F2, 3, 111) (dual of [(57, 3), 8, 112]-NRT-code) | [i] | ||
| 19 | Linear OOA(2161, 56, F2, 3, 109) (dual of [(56, 3), 7, 110]-NRT-code) | [i] | ||
| 20 | Linear OOA(2160, 56, F2, 3, 108) (dual of [(56, 3), 8, 109]-NRT-code) | [i] | ||
| 21 | Linear OOA(2158, 55, F2, 3, 106) (dual of [(55, 3), 7, 107]-NRT-code) | [i] | ||
| 22 | Linear OOA(2155, 54, F2, 3, 103) (dual of [(54, 3), 7, 104]-NRT-code) | [i] | ||
| 23 | Linear OOA(2154, 54, F2, 3, 102) (dual of [(54, 3), 8, 103]-NRT-code) | [i] | ||
| 24 | Linear OOA(2152, 53, F2, 3, 100) (dual of [(53, 3), 7, 101]-NRT-code) | [i] | ||
| 25 | Linear OOA(2151, 53, F2, 3, 99) (dual of [(53, 3), 8, 100]-NRT-code) | [i] | ||
| 26 | Linear OOA(2149, 52, F2, 3, 97) (dual of [(52, 3), 7, 98]-NRT-code) | [i] | ||
| 27 | Linear OOA(2148, 52, F2, 3, 96) (dual of [(52, 3), 8, 97]-NRT-code) | [i] | ||
| 28 | Linear OOA(2146, 51, F2, 3, 94) (dual of [(51, 3), 7, 95]-NRT-code) | [i] | ||
| 29 | Linear OOA(2143, 50, F2, 3, 91) (dual of [(50, 3), 7, 92]-NRT-code) | [i] | ||
| 30 | Linear OOA(2172, 30, F2, 6, 120) (dual of [(30, 6), 8, 121]-NRT-code) | [i] | OOA Folding | |