Information on Result #903840
Linear OOA(6491, 4196430, F64, 2, 18) (dual of [(4196430, 2), 8392769, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6422, 2129, F64, 2, 9) (dual of [(2129, 2), 4236, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(645, 80, F64, 2, 4) (dual of [(80, 2), 155, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,155P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6417, 2049, F64, 2, 9) (dual of [(2049, 2), 4081, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code), using
- linear OOA(645, 80, F64, 2, 4) (dual of [(80, 2), 155, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6469, 4194301, F64, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.