Information on Result #900139
Linear OOA(2579, 384, F25, 2, 30) (dual of [(384, 2), 689, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2519, 66, F25, 2, 15) (dual of [(66, 2), 113, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,116P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2560, 318, F25, 2, 30) (dual of [(318, 2), 576, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2560, 636, F25, 30) (dual of [636, 576, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, 637, F25, 30) (dual of [637, 577, 31]-code), using
- construction XX applied to C1 = C([622,26]), C2 = C([3,27]), C3 = C1 + C2 = C([3,26]), and C∩ = C1 ∩ C2 = C([622,27]) [i] based on
- linear OA(2554, 624, F25, 29) (dual of [624, 570, 30]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2549, 624, F25, 25) (dual of [624, 575, 26]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {3,4,…,27}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2556, 624, F25, 30) (dual of [624, 568, 31]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−2,−1,…,27}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2547, 624, F25, 24) (dual of [624, 577, 25]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {3,4,…,26}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(254, 11, F25, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([622,26]), C2 = C([3,27]), C3 = C1 + C2 = C([3,26]), and C∩ = C1 ∩ C2 = C([622,27]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2560, 637, F25, 30) (dual of [637, 577, 31]-code), using
- OOA 2-folding [i] based on linear OA(2560, 636, F25, 30) (dual of [636, 576, 31]-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.