Information on Result #1460454
Linear OOA(3258, 727017, F32, 2, 15) (dual of [(727017, 2), 1453976, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3258, 727017, F32, 15) (dual of [727017, 726959, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3258, 1048586, F32, 15) (dual of [1048586, 1048528, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(3257, 1048577, F32, 15) (dual of [1048577, 1048520, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3249, 1048577, F32, 13) (dual of [1048577, 1048528, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [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(3258, 181754, F32, 18, 15) (dual of [(181754, 18), 3271514, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |