Information on Result #681053
Linear OA(4182, 1046, F4, 47) (dual of [1046, 864, 48]-code), using construction XX applied to Ce(46) ⊂ Ce(42) ⊂ Ce(41) based on
- 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(4161, 1024, F4, 43) (dual of [1024, 863, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4156, 1024, F4, 42) (dual of [1024, 868, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(45, 21, F4, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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.