Information on Result #684260
Linear OA(5100, 149, F5, 47) (dual of [149, 49, 48]-code), using construction XX applied to Ce(46) ⊂ Ce(38) ⊂ Ce(37) based on
- linear OA(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(577, 125, F5, 39) (dual of [125, 48, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(574, 125, F5, 38) (dual of [125, 51, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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.