Information on Result #974325
Linear OOA(5150, 217, F5, 3, 46) (dual of [(217, 3), 501, 47]-NRT-code), using OOA 3-folding based on linear OA(5150, 651, F5, 46) (dual of [651, 501, 47]-code), using
- construction XX applied to C1 = C([119,161]), C2 = C([116,157]), C3 = C1 + C2 = C([119,157]), and C∩ = C1 ∩ C2 = C([116,161]) [i] based on
- linear OA(5135, 624, F5, 43) (dual of [624, 489, 44]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {119,120,…,161}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5131, 624, F5, 42) (dual of [624, 493, 43]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,157}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5143, 624, F5, 46) (dual of [624, 481, 47]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,161}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {119,120,…,157}, and designed minimum distance d ≥ |I|+1 = 40 [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
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.