Information on Result #1493286
Linear OOA(9123, 28847, F9, 3, 27) (dual of [(28847, 3), 86418, 28]-NRT-code), using OOA 2-folding based on linear OOA(9123, 57694, F9, 2, 27) (dual of [(57694, 2), 115265, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9123, 57694, F9, 27) (dual of [57694, 57571, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9123, 59062, F9, 27) (dual of [59062, 58939, 28]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9122, 59061, F9, 27) (dual of [59061, 58939, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9111, 59050, F9, 25) (dual of [59050, 58939, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(9122, 59061, F9, 27) (dual of [59061, 58939, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9123, 59062, F9, 27) (dual of [59062, 58939, 28]-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
None.