Information on Result #1478991
Linear OOA(4118, 108339, F4, 3, 16) (dual of [(108339, 3), 324899, 17]-NRT-code), using OOA 2-folding based on linear OOA(4118, 216678, F4, 2, 16) (dual of [(216678, 2), 433238, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4118, 216679, F4, 2, 16) (dual of [(216679, 2), 433240, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4118, 216679, F4, 16) (dual of [216679, 216561, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4118, 262190, F4, 16) (dual of [262190, 262072, 17]-code), using
- 1 times truncation [i] based on linear OA(4119, 262191, F4, 17) (dual of [262191, 262072, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(473, 262145, F4, 11) (dual of [262145, 262072, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(410, 46, F4, 5) (dual of [46, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- 1 times truncation [i] based on linear OA(4119, 262191, F4, 17) (dual of [262191, 262072, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4118, 262190, F4, 16) (dual of [262190, 262072, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4118, 216679, F4, 16) (dual of [216679, 216561, 17]-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.