Information on Result #973426
Linear OOA(5100, 215, F5, 3, 30) (dual of [(215, 3), 545, 31]-NRT-code), using OOA 3-folding based on linear OA(5100, 645, F5, 30) (dual of [645, 545, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(5100, 647, F5, 30) (dual of [647, 547, 31]-code), using
- construction XX applied to C1 = C([129,156]), C2 = C([133,158]), C3 = C1 + C2 = C([133,156]), and C∩ = C1 ∩ C2 = C([129,158]) [i] based on
- linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,156}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(585, 624, F5, 26) (dual of [624, 539, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,158}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(595, 624, F5, 30) (dual of [624, 529, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,158}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,156}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([129,156]), C2 = C([133,158]), C3 = C1 + C2 = C([133,156]), and C∩ = C1 ∩ C2 = C([129,158]) [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.