Information on Result #838044
Linear OOA(5134, 325, F5, 2, 41) (dual of [(325, 2), 516, 42]-NRT-code), using OOA 2-folding based on linear OA(5134, 650, F5, 41) (dual of [650, 516, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(5134, 651, F5, 41) (dual of [651, 517, 42]-code), using
- construction XX applied to C1 = C([124,161]), C2 = C([121,157]), C3 = C1 + C2 = C([124,157]), and C∩ = C1 ∩ C2 = C([121,161]) [i] based on
- linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {124,125,…,161}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,157}, and designed minimum distance d ≥ |I|+1 = 38 [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(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 = {124,125,…,157}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(53, 11, F5, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- construction XX applied to C1 = C([124,161]), C2 = C([121,157]), C3 = C1 + C2 = C([124,157]), and C∩ = C1 ∩ C2 = C([121,161]) [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.