Information on Result #733787
Linear OA(3298, 1149, F32, 36) (dual of [1149, 1051, 37]-code), using (u, u+v)-construction based on
- linear OA(3230, 122, F32, 18) (dual of [122, 92, 19]-code), using
- construction X applied to AG(F,100P) ⊂ AG(F,102P) [i] based on
- linear OA(3229, 119, F32, 18) (dual of [119, 90, 19]-code), using algebraic-geometric code AG(F,100P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3227, 119, F32, 16) (dual of [119, 92, 17]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,100P) ⊂ AG(F,102P) [i] based on
- linear OA(3268, 1027, F32, 36) (dual of [1027, 959, 37]-code), using
- construction XX applied to C1 = C([1022,33]), C2 = C([0,34]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([1022,34]) [i] based on
- linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([1022,33]), C2 = C([0,34]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([1022,34]) [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(3298, 574, F32, 2, 36) (dual of [(574, 2), 1050, 37]-NRT-code) | [i] | OOA Folding | |