Information on Result #1564893
Linear OOA(6474, 117114, F64, 3, 25) (dual of [(117114, 3), 351268, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6474, 117114, F64, 2, 25) (dual of [(117114, 2), 234154, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6474, 131076, F64, 2, 25) (dual of [(131076, 2), 262078, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6474, 262152, F64, 25) (dual of [262152, 262078, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [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 C([0,12]) ⊂ C([0,11]) [i] based on
- OOA 2-folding [i] based on linear OA(6474, 262152, F64, 25) (dual of [262152, 262078, 26]-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(6474, 29278, F64, 27, 25) (dual of [(29278, 27), 790432, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |