Information on Result #901491
Linear OOA(27109, 442, F27, 2, 43) (dual of [(442, 2), 775, 44]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2727, 76, F27, 2, 21) (dual of [(76, 2), 125, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,130P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- linear OOA(2782, 366, F27, 2, 43) (dual of [(366, 2), 650, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2782, 732, F27, 43) (dual of [732, 650, 44]-code), using
- construction XX applied to C1 = C([727,40]), C2 = C([0,41]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([727,41]) [i] based on
- linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,40}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2782, 728, F27, 43) (dual of [728, 646, 44]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,41}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([727,40]), C2 = C([0,41]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([727,41]) [i] based on
- OOA 2-folding [i] based on linear OA(2782, 732, F27, 43) (dual of [732, 650, 44]-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.