Information on Result #710284
Linear OA(5107, 161, F5, 48) (dual of [161, 54, 49]-code), using construction XX applied to C1 = C([118,36]), C2 = C([1,41]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([118,41]) based on
- linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,36}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using 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(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,41}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(59, 22, F5, 6) (dual of [22, 13, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 24, F5, 6) (dual of [24, 15, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(59, 24, F5, 6) (dual of [24, 15, 7]-code), using
- linear OA(56, 15, F5, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
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.