Information on Result #641159
Linear OA(4122, 127, F4, 88) (dual of [127, 5, 89]-code), using juxtaposition based on
- linear OA(455, 60, F4, 41) (dual of [60, 5, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using
- 2 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- 2 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using
- linear OA(462, 67, F4, 46) (dual of [67, 5, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(462, 68, F4, 46) (dual of [68, 6, 47]-code), using
- residual code [i] based on linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
- an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
- residual code [i] based on linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
- discarding factors / shortening the dual code based on linear OA(462, 68, F4, 46) (dual of [68, 6, 47]-code), using
Mode: Constructive and 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.