Information on Result #638172
Linear OA(5148, 156, F5, 114) (dual of [156, 8, 115]-code), using concatenation of two codes based on
- linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), using
- extended Reed–Solomon code RSe(4,25) [i]
- algebraic-geometric code AG(F, Q+0P) 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,1P) with 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(5148, 156, F5, 113) (dual of [156, 8, 114]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5148, 156, F5, 112) (dual of [156, 8, 113]-code) | [i] | ||
| 3 | Linear OA(5148, 156, F5, 111) (dual of [156, 8, 112]-code) | [i] | ||
| 4 | Linear OA(5148, 156, F5, 110) (dual of [156, 8, 111]-code) | [i] | ||
| 5 | Linear OA(5149, 157, F5, 114) (dual of [157, 8, 115]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(5150, 158, F5, 114) (dual of [158, 8, 115]-code) | [i] | ||
| 7 | Linear OA(5147, 155, F5, 113) (dual of [155, 8, 114]-code) | [i] | Truncation | |
| 8 | Linear OA(5146, 154, F5, 112) (dual of [154, 8, 113]-code) | [i] | ||
| 9 | Linear OA(5145, 153, F5, 111) (dual of [153, 8, 112]-code) | [i] | ||
| 10 | Linear OA(5144, 152, F5, 110) (dual of [152, 8, 111]-code) | [i] | ||
| 11 | Linear OA(5143, 151, F5, 109) (dual of [151, 8, 110]-code) | [i] | ||
| 12 | Linear OA(5141, 149, F5, 107) (dual of [149, 8, 108]-code) | [i] | ||
| 13 | Linear OA(5140, 148, F5, 106) (dual of [148, 8, 107]-code) | [i] | ||
| 14 | Linear OA(5139, 147, F5, 105) (dual of [147, 8, 106]-code) | [i] | ||
| 15 | Linear OA(5138, 146, F5, 104) (dual of [146, 8, 105]-code) | [i] | ||
| 16 | Linear OA(5137, 145, F5, 103) (dual of [145, 8, 104]-code) | [i] | ||
| 17 | Linear OA(5135, 143, F5, 101) (dual of [143, 8, 102]-code) | [i] | ||
| 18 | Linear OA(5134, 142, F5, 100) (dual of [142, 8, 101]-code) | [i] | ||
| 19 | Linear OA(5133, 141, F5, 99) (dual of [141, 8, 100]-code) | [i] | ||
| 20 | Linear OA(5132, 140, F5, 98) (dual of [140, 8, 99]-code) | [i] | ||
| 21 | Linear OA(5131, 139, F5, 97) (dual of [139, 8, 98]-code) | [i] | ||
| 22 | Linear OA(5129, 137, F5, 95) (dual of [137, 8, 96]-code) | [i] | ||
| 23 | Linear OA(534, 41, F5, 22) (dual of [41, 7, 23]-code) | [i] | Residual Code | |
| 24 | Linear OOA(5148, 78, F5, 2, 114) (dual of [(78, 2), 8, 115]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(5148, 52, F5, 3, 114) (dual of [(52, 3), 8, 115]-NRT-code) | [i] | ||