Information on Result #629456
Linear OA(2210, 222, F2, 97) (dual of [222, 12, 98]-code), using concatenation of two codes based on
- linear OA(468, 74, F4, 48) (dual of [74, 6, 49]-code), using
- discarding factors / shortening the dual code based on linear OA(468, 75, F4, 48) (dual of [75, 7, 49]-code), using
- construction X applied to C([1,188]) ⊂ C([1,128]) [i] based on
- 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]
- 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]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- construction X applied to C([1,188]) ⊂ C([1,128]) [i] based on
- discarding factors / shortening the dual code based on linear OA(468, 75, F4, 48) (dual of [75, 7, 49]-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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
None.