Information on Result #684326
Linear OA(572, 143, F5, 31) (dual of [143, 71, 32]-code), using construction XX applied to Ce(30) ⊂ Ce(22) ⊂ Ce(21) based on
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(555, 125, F5, 23) (dual of [125, 70, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(552, 125, F5, 22) (dual of [125, 73, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(510, 17, F5, 7) (dual of [17, 7, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 20, F5, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,5) [i]
- discarding factors / shortening the dual code based on linear OA(510, 20, F5, 7) (dual of [20, 10, 8]-code), using
- 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.
Other Results with Identical Parameters
None.
Depending Results
None.