Information on Result #681961

Linear OA(468, 75, F4, 48) (dual of [75, 7, 49]-code), using construction X applied to C([1,188]) ⊂ C([1,128]) based on
  1. linear OA(462, 63, F4, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,4)), using contraction [i] based on linear OA(4188, 189, F4, 188) (dual of [189, 1, 189]-code or 189-arc in PG(187,4)), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,188], and designed minimum distance d ≥ |I|+1 = 189 [i]
  2. linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using contraction [i] based on linear OA(4182, 189, F4, 128) (dual of [189, 7, 129]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,128], and designed minimum distance d ≥ |I|+1 = 129 [i]
  3. linear OA(46, 12, F4, 5) (dual of [12, 6, 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(4142, 148, F4, 97) (dual of [148, 6, 98]-code) [i]Repeating Each Code Word
2Linear OA(2210, 222, F2, 97) (dual of [222, 12, 98]-code) [i]Concatenation of Two Codes
3Linear OA(2209, 219, F2, 97) (dual of [219, 10, 98]-code) [i]
4Linear OOA(468, 25, F4, 3, 48) (dual of [(25, 3), 7, 49]-NRT-code) [i]OOA Folding