Information on Result #681808
Linear OA(494, 284, F4, 29) (dual of [284, 190, 30]-code), using construction XX applied to Ce(28) ⊂ Ce(22) ⊂ Ce(21) based on
- linear OA(483, 256, F4, 29) (dual of [256, 173, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(467, 256, F4, 23) (dual of [256, 189, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(463, 256, F4, 22) (dual of [256, 193, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.