Information on Result #974104
Linear OOA(5147, 227, F5, 3, 41) (dual of [(227, 3), 534, 42]-NRT-code), using OOA 3-folding based on linear OA(5147, 681, F5, 41) (dual of [681, 534, 42]-code), using
- construction XX applied to C1 = C([121,155]), C2 = C([128,161]), C3 = C1 + C2 = C([128,155]), and C∩ = C1 ∩ C2 = C([121,161]) [i] based on
- linear OA(5110, 624, F5, 35) (dual of [624, 514, 36]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,155}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,161}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,161}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(590, 624, F5, 28) (dual of [624, 534, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,155}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(511, 31, F5, 6) (dual of [31, 20, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(55, 25, F5, 3) (dual of [25, 20, 4]-code or 25-cap in PG(4,5)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(59, 26, F5, 5) (dual of [26, 17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [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.