Information on Result #681723
Linear OA(4127, 263, F4, 45) (dual of [263, 136, 46]-code), using construction XX applied to Ce(44) ⊂ Ce(42) ⊂ Ce(41) based on
- linear OA(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4121, 256, F4, 43) (dual of [256, 135, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4117, 256, F4, 42) (dual of [256, 139, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.