Information on Result #673683
Linear OA(2140, 284, F2, 37) (dual of [284, 144, 38]-code), using construction X applied to Ce(36) ⊂ Ce(28) based on
- linear OA(2125, 256, F2, 37) (dual of [256, 131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2109, 256, F2, 29) (dual of [256, 147, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(215, 28, F2, 7) (dual of [28, 13, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [i]
- linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- (u, u+v)-construction [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 OA(2139, 283, F2, 36) (dual of [283, 144, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(2140, 142, F2, 2, 37) (dual of [(142, 2), 144, 38]-NRT-code) | [i] | OOA Folding | |