Information on Result #682087
Linear OA(451, 82, F4, 23) (dual of [82, 31, 24]-code), using construction XX applied to Ce(22) ⊂ Ce(14) ⊂ Ce(13) based on
- linear OA(441, 64, F4, 23) (dual of [64, 23, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(431, 64, F4, 14) (dual of [64, 33, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- linear OA(40, 1, F4, 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.