Information on Result #684279
Linear OA(591, 149, F5, 42) (dual of [149, 58, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(33) ⊂ Ce(32) based on
- linear OA(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(568, 125, F5, 34) (dual of [125, 57, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(565, 125, F5, 33) (dual of [125, 60, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(510, 23, F5, 7) (dual of [23, 13, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 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.