Information on Result #837177
Linear OOA(5100, 328, F5, 2, 29) (dual of [(328, 2), 556, 30]-NRT-code), using OOA 2-folding based on linear OA(5100, 656, F5, 29) (dual of [656, 556, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(5100, 657, F5, 29) (dual of [657, 557, 30]-code), using
- construction XX applied to C1 = C([130,156]), C2 = C([136,158]), C3 = C1 + C2 = C([136,156]), and C∩ = C1 ∩ C2 = C([130,158]) [i] based on
- linear OA(583, 624, F5, 27) (dual of [624, 541, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,156}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,158}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,158}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(58, 24, F5, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), 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([130,156]), C2 = C([136,158]), C3 = C1 + C2 = C([136,156]), and C∩ = C1 ∩ C2 = C([130,158]) [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.