Information on Result #681032
Linear OA(4205, 1055, F4, 52) (dual of [1055, 850, 53]-code), using construction XX applied to Ce(52) ⊂ Ce(46) ⊂ Ce(45) based on
- linear OA(4196, 1024, F4, 53) (dual of [1024, 828, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4176, 1024, F4, 47) (dual of [1024, 848, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4171, 1024, F4, 46) (dual of [1024, 853, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(47, 29, F4, 4) (dual of [29, 22, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
None.