Information on Result #1018855
Linear OOA(8166, 177264, F81, 3, 19) (dual of [(177264, 3), 531726, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8111, 116, F81, 3, 9) (dual of [(116, 3), 337, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,338P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8155, 177148, F81, 3, 19) (dual of [(177148, 3), 531389, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-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(8166, 59087, F81, 21, 19) (dual of [(59087, 21), 1240761, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |