Information on Result #684433
Linear OA(530, 40, F5, 18) (dual of [40, 10, 19]-code), using construction XX applied to Ce(17) ⊂ Ce(11) ⊂ Ce(8) based on
- linear OA(521, 25, F5, 18) (dual of [25, 4, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(516, 25, F5, 12) (dual of [25, 9, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(514, 25, F5, 9) (dual of [25, 11, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), using
- dual of repetition code with length 3 [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.