Information on Result #734921
Linear OA(6484, 262292, F64, 23) (dual of [262292, 262208, 24]-code), using (u, u+v)-construction based on
- linear OA(6417, 145, F64, 11) (dual of [145, 128, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(6412, 80, F64, 11) (dual of [80, 68, 12]-code), using
- extended algebraic-geometric code AGe(F,68P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- (u, u+v)-construction [i] based on
- linear OA(6467, 262147, F64, 23) (dual of [262147, 262080, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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(22) ⊂ Ce(21) [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(6484, 131146, F64, 2, 23) (dual of [(131146, 2), 262208, 24]-NRT-code) | [i] | OOA Folding | |