Information on Result #681979

Linear OA(466, 74, F4, 47) (dual of [74, 8, 48]-code), using construction X applied to C([0,140]) ⊂ C([1,125]) based on
  1. linear OA(460, 63, F4, 47) (dual of [63, 3, 48]-code), using contraction [i] based on linear OA(4186, 189, F4, 143) (dual of [189, 3, 144]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,140], and minimum distance d ≥ |{−7,−2,3,…,−53}|+1 = 144 (BCH-bound) [i]
  2. linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using contraction [i] based on linear OA(4181, 189, F4, 125) (dual of [189, 8, 126]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,125], and designed minimum distance d ≥ |I|+1 = 126 [i]
  3. linear OA(46, 11, F4, 5) (dual of [11, 5, 6]-code), using

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(466, 74, F4, 46) (dual of [74, 8, 47]-code) [i]Strength Reduction
2Linear OA(466, 74, F4, 45) (dual of [74, 8, 46]-code) [i]
3Linear OA(466, 74, F4, 44) (dual of [74, 8, 45]-code) [i]
4Linear OA(463, 71, F4, 44) (dual of [71, 8, 45]-code) [i]Truncation
5Linear OA(460, 68, F4, 41) (dual of [68, 8, 42]-code) [i]
6Linear OA(459, 67, F4, 40) (dual of [67, 8, 41]-code) [i]
7Linear OA(458, 66, F4, 39) (dual of [66, 8, 40]-code) [i]
8Linear OA(455, 63, F4, 36) (dual of [63, 8, 37]-code) [i]