Information on Result #1621530
Linear OOA(3153, 2013, F3, 5, 27) (dual of [(2013, 5), 9912, 28]-NRT-code), using OOA 2-folding based on linear OOA(3153, 4026, F3, 3, 27) (dual of [(4026, 3), 11925, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3153, 4027, F3, 3, 27) (dual of [(4027, 3), 11928, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3153, 4027, F3, 27) (dual of [4027, 3874, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3153, 6590, F3, 27) (dual of [6590, 6437, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(3145, 6562, F3, 27) (dual of [6562, 6417, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3153, 6590, F3, 27) (dual of [6590, 6437, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3153, 4027, F3, 27) (dual of [4027, 3874, 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.