Information on Result #698485
Linear OA(6457, 262155, F64, 19) (dual of [262155, 262098, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
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 | OA(3269, 262155, S32, 19) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6457, 131077, F64, 2, 19) (dual of [(131077, 2), 262097, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6457, 87385, F64, 3, 19) (dual of [(87385, 3), 262098, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(6457, 29128, F64, 19, 19) (dual of [(29128, 19), 553375, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |