Information on Result #734098
Linear OA(3263, 1137, F32, 22) (dual of [1137, 1074, 23]-code), using (u, u+v)-construction based on
- linear OA(3220, 110, F32, 11) (dual of [110, 90, 12]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- extended Reed–Solomon code RSe(30,32) [i]
- linear OA(325, 33, F32, 5) (dual of [33, 28, 6]-code or 33-arc in PG(4,32)), using
- extended Reed–Solomon code RSe(28,32) [i]
- linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(3243, 1027, F32, 22) (dual of [1027, 984, 23]-code), using
- construction XX applied to C1 = C([1022,19]), C2 = C([0,20]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([1022,20]) [i] based on
- linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3243, 1023, F32, 22) (dual of [1023, 980, 23]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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([1022,19]), C2 = C([0,20]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([1022,20]) [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(3263, 568, F32, 2, 22) (dual of [(568, 2), 1073, 23]-NRT-code) | [i] | OOA Folding | |