Information on Result #901256
Linear OOA(2781, 418, F27, 2, 33) (dual of [(418, 2), 755, 34]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2719, 52, F27, 2, 16) (dual of [(52, 2), 85, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,87P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2762, 366, F27, 2, 33) (dual of [(366, 2), 670, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2762, 732, F27, 33) (dual of [732, 670, 34]-code), using
- construction XX applied to C1 = C([727,30]), C2 = C([0,31]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([727,31]) [i] based on
- linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,31}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [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([727,30]), C2 = C([0,31]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([727,31]) [i] based on
- OOA 2-folding [i] based on linear OA(2762, 732, F27, 33) (dual of [732, 670, 34]-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.