Information on Result #900599
Linear OOA(2738, 432, F27, 2, 14) (dual of [(432, 2), 826, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2711, 66, F27, 2, 7) (dual of [(66, 2), 121, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(278, 38, F27, 2, 7) (dual of [(38, 2), 68, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,68P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2727, 366, F27, 2, 14) (dual of [(366, 2), 705, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2727, 732, F27, 14) (dual of [732, 705, 15]-code), using
- construction XX applied to C1 = C([727,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([727,12]) [i] based on
- linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2727, 728, F27, 14) (dual of [728, 701, 15]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2723, 728, F27, 12) (dual of [728, 705, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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([727,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([727,12]) [i] based on
- OOA 2-folding [i] based on linear OA(2727, 732, F27, 14) (dual of [732, 705, 15]-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.