Information on Result #909996
Linear OOA(5149, 78, F5, 2, 116) (dual of [(78, 2), 7, 117]-NRT-code), using juxtaposition based on
- linear OOA(525, 16, F5, 2, 22) (dual of [(16, 2), 7, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(5117, 62, F5, 2, 93) (dual of [(62, 2), 7, 94]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5117, 124, F5, 93) (dual of [124, 7, 94]-code), using
- discarding factors / shortening the dual code based on linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using
- an extension Ce(92) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93 [i]
- discarding factors / shortening the dual code based on linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using
- OOA 2-folding [i] based on linear OA(5117, 124, F5, 93) (dual of [124, 7, 94]-code), 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(5149, 78, F5, 2, 115) (dual of [(78, 2), 7, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5149, 78, F5, 2, 114) (dual of [(78, 2), 7, 115]-NRT-code) | [i] | ||
| 3 | Linear OOA(5149, 78, F5, 2, 113) (dual of [(78, 2), 7, 114]-NRT-code) | [i] | ||
| 4 | Linear OOA(5149, 78, F5, 2, 112) (dual of [(78, 2), 7, 113]-NRT-code) | [i] | ||
| 5 | Linear OOA(5149, 78, F5, 2, 111) (dual of [(78, 2), 7, 112]-NRT-code) | [i] | ||