Information on Result #638165
Linear OA(5144, 156, F5, 104) (dual of [156, 12, 105]-code), using concatenation of two codes based on
- linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using
- extended Reed–Solomon code RSe(6,25) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
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 OA(5144, 156, F5, 103) (dual of [156, 12, 104]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5144, 156, F5, 102) (dual of [156, 12, 103]-code) | [i] | ||
| 3 | Linear OA(5144, 156, F5, 101) (dual of [156, 12, 102]-code) | [i] | ||
| 4 | Linear OA(5144, 156, F5, 100) (dual of [156, 12, 101]-code) | [i] | ||
| 5 | Linear OA(5145, 157, F5, 104) (dual of [157, 12, 105]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(5146, 158, F5, 104) (dual of [158, 12, 105]-code) | [i] | ||
| 7 | Linear OA(5147, 159, F5, 104) (dual of [159, 12, 105]-code) | [i] | ||
| 8 | Linear OA(5148, 160, F5, 104) (dual of [160, 12, 105]-code) | [i] | ||
| 9 | Linear OA(5149, 161, F5, 104) (dual of [161, 12, 105]-code) | [i] | ||
| 10 | Linear OA(5150, 162, F5, 104) (dual of [162, 12, 105]-code) | [i] | ||
| 11 | Linear OA(5143, 155, F5, 103) (dual of [155, 12, 104]-code) | [i] | Truncation | |
| 12 | Linear OA(5142, 154, F5, 102) (dual of [154, 12, 103]-code) | [i] | ||
| 13 | Linear OA(5141, 153, F5, 101) (dual of [153, 12, 102]-code) | [i] | ||
| 14 | Linear OA(5140, 152, F5, 100) (dual of [152, 12, 101]-code) | [i] | ||
| 15 | Linear OA(5139, 151, F5, 99) (dual of [151, 12, 100]-code) | [i] | ||
| 16 | Linear OA(5137, 149, F5, 97) (dual of [149, 12, 98]-code) | [i] | ||
| 17 | Linear OA(5136, 148, F5, 96) (dual of [148, 12, 97]-code) | [i] | ||
| 18 | Linear OA(5135, 147, F5, 95) (dual of [147, 12, 96]-code) | [i] | ||
| 19 | Linear OA(5134, 146, F5, 94) (dual of [146, 12, 95]-code) | [i] | ||
| 20 | Linear OA(5133, 145, F5, 93) (dual of [145, 12, 94]-code) | [i] | ||
| 21 | Linear OA(5131, 143, F5, 91) (dual of [143, 12, 92]-code) | [i] | ||
| 22 | Linear OA(5130, 142, F5, 90) (dual of [142, 12, 91]-code) | [i] | ||
| 23 | Linear OA(5129, 141, F5, 89) (dual of [141, 12, 90]-code) | [i] | ||
| 24 | Linear OA(5128, 140, F5, 88) (dual of [140, 12, 89]-code) | [i] | ||
| 25 | Linear OA(5127, 139, F5, 87) (dual of [139, 12, 88]-code) | [i] | ||
| 26 | Linear OA(5125, 137, F5, 85) (dual of [137, 12, 86]-code) | [i] | ||
| 27 | Linear OOA(5144, 78, F5, 2, 104) (dual of [(78, 2), 12, 105]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(5144, 52, F5, 3, 104) (dual of [(52, 3), 12, 105]-NRT-code) | [i] | ||