Information on Result #2246874
Linear OA(593, 157, F5, 40) (dual of [157, 64, 41]-code), using 1 times truncation based on linear OA(594, 158, F5, 41) (dual of [158, 64, 42]-code), using
- strength reduction [i] based on linear OA(594, 158, F5, 42) (dual of [158, 64, 43]-code), using
- construction XX applied to C1 = C([119,30]), C2 = C([1,36]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([119,36]) [i] based on
- linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,30}, and designed minimum distance d ≥ |I|+1 = 37 [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(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(560, 124, F5, 30) (dual of [124, 64, 31]-code), using 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(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(57, 17, F5, 5) (dual of [17, 10, 6]-code) (see above)
- construction XX applied to C1 = C([119,30]), C2 = C([1,36]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([119,36]) [i] based on
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.