Information on Result #1028651
Linear OOA(2153, 55, F2, 3, 98) (dual of [(55, 3), 12, 99]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(168, 11, F16, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), 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(2153, 55, F2, 3, 97) (dual of [(55, 3), 12, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2153, 55, F2, 3, 96) (dual of [(55, 3), 12, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(2153, 55, F2, 3, 95) (dual of [(55, 3), 12, 96]-NRT-code) | [i] | ||
| 4 | Linear OOA(2153, 55, F2, 3, 94) (dual of [(55, 3), 12, 95]-NRT-code) | [i] | ||
| 5 | Linear OOA(2153, 55, F2, 3, 93) (dual of [(55, 3), 12, 94]-NRT-code) | [i] | ||
| 6 | Linear OOA(2153, 55, F2, 3, 92) (dual of [(55, 3), 12, 93]-NRT-code) | [i] | ||
| 7 | Linear OOA(2153, 55, F2, 3, 91) (dual of [(55, 3), 12, 92]-NRT-code) | [i] | ||
| 8 | Linear OOA(2153, 55, F2, 3, 90) (dual of [(55, 3), 12, 91]-NRT-code) | [i] | ||
| 9 | Linear OOA(2156, 56, F2, 3, 98) (dual of [(56, 3), 12, 99]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 10 | Linear OOA(2154, 55, F2, 3, 98) (dual of [(55, 3), 11, 99]-NRT-code) | [i] | OOA Duplication | |
| 11 | Linear OOA(2152, 54, F2, 3, 97) (dual of [(54, 3), 10, 98]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(2151, 54, F2, 3, 96) (dual of [(54, 3), 11, 97]-NRT-code) | [i] | ||
| 13 | Linear OOA(2149, 53, F2, 3, 94) (dual of [(53, 3), 10, 95]-NRT-code) | [i] | ||
| 14 | Linear OOA(2148, 53, F2, 3, 93) (dual of [(53, 3), 11, 94]-NRT-code) | [i] | ||
| 15 | Linear OOA(2147, 53, F2, 3, 92) (dual of [(53, 3), 12, 93]-NRT-code) | [i] | ||
| 16 | Linear OOA(2146, 52, F2, 3, 91) (dual of [(52, 3), 10, 92]-NRT-code) | [i] | ||
| 17 | Linear OOA(2145, 52, F2, 3, 90) (dual of [(52, 3), 11, 91]-NRT-code) | [i] | ||
| 18 | Linear OOA(2144, 52, F2, 3, 89) (dual of [(52, 3), 12, 90]-NRT-code) | [i] | ||
| 19 | Linear OOA(2143, 51, F2, 3, 88) (dual of [(51, 3), 10, 89]-NRT-code) | [i] | ||
| 20 | Linear OOA(2142, 51, F2, 3, 87) (dual of [(51, 3), 11, 88]-NRT-code) | [i] | ||
| 21 | Linear OOA(2139, 50, F2, 3, 84) (dual of [(50, 3), 11, 85]-NRT-code) | [i] | ||
| 22 | Linear OOA(2153, 27, F2, 6, 98) (dual of [(27, 6), 9, 99]-NRT-code) | [i] | OOA Folding | |