Information on Result #693010
Linear OA(1694, 274, F16, 50) (dual of [274, 180, 51]-code), using construction XX applied to Ce(50) ⊂ Ce(42) ⊂ Ce(41) based on
- linear OA(1687, 256, F16, 51) (dual of [256, 169, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(1677, 256, F16, 43) (dual of [256, 179, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(1675, 256, F16, 42) (dual of [256, 181, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- extended Reed–Solomon code RSe(11,16) [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(1694, 137, F16, 2, 50) (dual of [(137, 2), 180, 51]-NRT-code) | [i] | OOA Folding | |