Information on Result #1028656
Linear OOA(2168, 60, F2, 3, 109) (dual of [(60, 3), 12, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(169, 12, F16, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), 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(2168, 60, F2, 3, 108) (dual of [(60, 3), 12, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2168, 60, F2, 3, 107) (dual of [(60, 3), 12, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2168, 60, F2, 3, 106) (dual of [(60, 3), 12, 107]-NRT-code) | [i] | ||
| 4 | Linear OOA(2168, 60, F2, 3, 105) (dual of [(60, 3), 12, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(2171, 61, F2, 3, 109) (dual of [(61, 3), 12, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(2169, 60, F2, 3, 109) (dual of [(60, 3), 11, 110]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2170, 60, F2, 3, 109) (dual of [(60, 3), 10, 110]-NRT-code) | [i] | ||
| 8 | Linear OOA(2167, 59, F2, 3, 108) (dual of [(59, 3), 10, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2166, 59, F2, 3, 107) (dual of [(59, 3), 11, 108]-NRT-code) | [i] | ||
| 10 | Linear OOA(2165, 59, F2, 3, 106) (dual of [(59, 3), 12, 107]-NRT-code) | [i] | ||
| 11 | Linear OOA(2164, 58, F2, 3, 105) (dual of [(58, 3), 10, 106]-NRT-code) | [i] | ||
| 12 | Linear OOA(2163, 58, F2, 3, 104) (dual of [(58, 3), 11, 105]-NRT-code) | [i] | ||
| 13 | Linear OOA(2162, 58, F2, 3, 103) (dual of [(58, 3), 12, 104]-NRT-code) | [i] | ||
| 14 | Linear OOA(2161, 57, F2, 3, 102) (dual of [(57, 3), 10, 103]-NRT-code) | [i] | ||
| 15 | Linear OOA(2160, 57, F2, 3, 101) (dual of [(57, 3), 11, 102]-NRT-code) | [i] | ||
| 16 | Linear OOA(2159, 57, F2, 3, 100) (dual of [(57, 3), 12, 101]-NRT-code) | [i] | ||
| 17 | Linear OOA(2158, 56, F2, 3, 99) (dual of [(56, 3), 10, 100]-NRT-code) | [i] | ||
| 18 | Linear OOA(2157, 56, F2, 3, 98) (dual of [(56, 3), 11, 99]-NRT-code) | [i] | ||
| 19 | Linear OOA(2156, 56, F2, 3, 97) (dual of [(56, 3), 12, 98]-NRT-code) | [i] | ||
| 20 | Linear OOA(2154, 55, F2, 3, 95) (dual of [(55, 3), 11, 96]-NRT-code) | [i] | ||
| 21 | Linear OOA(2152, 54, F2, 3, 93) (dual of [(54, 3), 10, 94]-NRT-code) | [i] | ||
| 22 | Linear OOA(2151, 54, F2, 3, 92) (dual of [(54, 3), 11, 93]-NRT-code) | [i] | ||
| 23 | Linear OOA(2149, 53, F2, 3, 90) (dual of [(53, 3), 10, 91]-NRT-code) | [i] | ||
| 24 | Linear OOA(2148, 53, F2, 3, 89) (dual of [(53, 3), 11, 90]-NRT-code) | [i] | ||
| 25 | Linear OOA(2147, 53, F2, 3, 88) (dual of [(53, 3), 12, 89]-NRT-code) | [i] | ||
| 26 | Linear OOA(2146, 52, F2, 3, 87) (dual of [(52, 3), 10, 88]-NRT-code) | [i] | ||
| 27 | Linear OOA(2145, 52, F2, 3, 86) (dual of [(52, 3), 11, 87]-NRT-code) | [i] | ||
| 28 | Linear OOA(2144, 52, F2, 3, 85) (dual of [(52, 3), 12, 86]-NRT-code) | [i] | ||
| 29 | Linear OOA(2143, 51, F2, 3, 84) (dual of [(51, 3), 10, 85]-NRT-code) | [i] | ||
| 30 | Linear OOA(2168, 30, F2, 6, 109) (dual of [(30, 6), 12, 110]-NRT-code) | [i] | OOA Folding | |