Information on Result #684363
Linear OA(528, 37, F5, 18) (dual of [37, 9, 19]-code), using construction XX applied to C([1,75]) ⊂ C([1,51]) ⊂ C([1,47]) based on
- linear OA(521, 24, F5, 18) (dual of [24, 3, 19]-code), using contraction [i] based on linear OA(593, 96, F5, 75) (dual of [96, 3, 76]-code), using the narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [1,75], and designed minimum distance d ≥ |I|+1 = 76 [i]
- linear OA(516, 24, F5, 12) (dual of [24, 8, 13]-code), using contraction [i] based on linear OA(588, 96, F5, 51) (dual of [96, 8, 52]-code), using the narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(515, 24, F5, 11) (dual of [24, 9, 12]-code), using contraction [i] based on linear OA(587, 96, F5, 47) (dual of [96, 9, 48]-code), using the narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- linear OA(50, 1, F5, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.