Information on Result #1564286
Linear OOA(6438, 131076, F64, 3, 13) (dual of [(131076, 3), 393190, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6438, 131076, F64, 2, 13) (dual of [(131076, 2), 262114, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6438, 262152, F64, 13) (dual of [262152, 262114, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(6437, 262145, F64, 13) (dual of [262145, 262108, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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([0,6]) ⊂ C([0,5]) [i] based on
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(6438, 65537, F64, 15, 13) (dual of [(65537, 15), 983017, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |