Information on Result #681034
Linear OA(4204, 1053, F4, 52) (dual of [1053, 849, 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, 28, F4, 4) (dual of [28, 21, 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, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.