Information on Result #1421720
Linear OOA(4108, 42191, F4, 2, 17) (dual of [(42191, 2), 84274, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4108, 42191, F4, 17) (dual of [42191, 42083, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4108, 65580, F4, 17) (dual of [65580, 65472, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4107, 65579, F4, 17) (dual of [65579, 65472, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(497, 65537, F4, 17) (dual of [65537, 65440, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(465, 65537, F4, 11) (dual of [65537, 65472, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(410, 42, F4, 5) (dual of [42, 32, 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 code embedding in larger space [i] based on linear OA(4107, 65579, F4, 17) (dual of [65579, 65472, 18]-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.