Information on Result #681791
Linear OA(4106, 284, F4, 33) (dual of [284, 178, 34]-code), using construction XX applied to Ce(33) ⊂ Ce(26) ⊂ Ce(25) based on
- linear OA(495, 256, F4, 34) (dual of [256, 161, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(479, 256, F4, 27) (dual of [256, 177, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(475, 256, F4, 26) (dual of [256, 181, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(410, 27, F4, 5) (dual of [27, 17, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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.