Information on Result #735621
Linear OA(12860, 16665, F128, 22) (dual of [16665, 16605, 23]-code), using (u, u+v)-construction based on
- linear OA(12817, 279, F128, 11) (dual of [279, 262, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(1285, 129, F128, 5) (dual of [129, 124, 6]-code or 129-arc in PG(4,128)), using
- extended Reed–Solomon code RSe(124,128) [i]
- linear OA(12812, 150, F128, 11) (dual of [150, 138, 12]-code), using
- extended algebraic-geometric code AGe(F,138P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1285, 129, F128, 5) (dual of [129, 124, 6]-code or 129-arc in PG(4,128)), using
- (u, u+v)-construction [i] based on
- linear OA(12843, 16386, F128, 22) (dual of [16386, 16343, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
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(12860, 8332, F128, 2, 22) (dual of [(8332, 2), 16604, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12860, 5555, F128, 3, 22) (dual of [(5555, 3), 16605, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(12860, 1515, F128, 22, 22) (dual of [(1515, 22), 33270, 23]-NRT-code) | [i] | OA Folding and Stacking | |