Information on Result #1564490
Linear OOA(6453, 131075, F64, 3, 18) (dual of [(131075, 3), 393172, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6453, 131075, F64, 2, 18) (dual of [(131075, 2), 262097, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6453, 262150, F64, 18) (dual of [262150, 262097, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, 262151, F64, 18) (dual of [262151, 262098, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(6453, 262151, F64, 18) (dual of [262151, 262098, 19]-code), using
Mode: 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(6453, 43691, F64, 21, 18) (dual of [(43691, 21), 917458, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |