Information on Result #734841
Linear OA(6470, 4228, F64, 26) (dual of [4228, 4158, 27]-code), using (u, u+v)-construction based on
- linear OA(6419, 130, F64, 13) (dual of [130, 111, 14]-code), using
- construction X applied to AG(F,113P) ⊂ AG(F,115P) [i] based on
- linear OA(6418, 127, F64, 13) (dual of [127, 109, 14]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6416, 127, F64, 11) (dual of [127, 111, 12]-code), using algebraic-geometric code AG(F,115P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,113P) ⊂ AG(F,115P) [i] based on
- linear OA(6451, 4098, F64, 26) (dual of [4098, 4047, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [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(6470, 2114, F64, 2, 26) (dual of [(2114, 2), 4158, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6470, 1409, F64, 3, 26) (dual of [(1409, 3), 4157, 27]-NRT-code) | [i] | ||