Information on Result #1547787
Linear OOA(570, 522, F5, 3, 22) (dual of [(522, 3), 1496, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(570, 522, F5, 22) (dual of [522, 452, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(570, 633, F5, 22) (dual of [633, 563, 23]-code), using
- construction XX applied to C1 = C([136,156]), C2 = C([138,157]), C3 = C1 + C2 = C([138,156]), and C∩ = C1 ∩ C2 = C([136,157]) [i] based on
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,156}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,157}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,157}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,156}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([136,156]), C2 = C([138,157]), C3 = C1 + C2 = C([138,156]), and C∩ = C1 ∩ C2 = C([136,157]) [i] based on
Mode: 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.