Information on Result #680961
Linear OA(4248, 1042, F4, 67) (dual of [1042, 794, 68]-code), using construction XX applied to Ce(68) ⊂ Ce(61) ⊂ Ce(60) based on
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(4231, 1024, F4, 62) (dual of [1024, 793, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(46, 17, F4, 4) (dual of [17, 11, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 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.