Information on Result #2246738
Linear OA(5102, 129, F5, 55) (dual of [129, 27, 56]-code), using 14 times truncation based on linear OA(5116, 143, F5, 69) (dual of [143, 27, 70]-code), using
- construction XX applied to Ce(68) ⊂ Ce(62) ⊂ Ce(61) [i] based on
- linear OA(5108, 125, F5, 69) (dual of [125, 17, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(57, 17, F5, 5) (dual of [17, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.