Information on Result #1082684
Linear OOA(8152, 1840, F81, 4, 19) (dual of [(1840, 4), 7308, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 200, F81, 4, 9) (dual of [(200, 4), 785, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 100, F81, 4, 4) (dual of [(100, 4), 395, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,295P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- appending kth column [i] based on linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- linear OOA(8110, 100, F81, 4, 9) (dual of [(100, 4), 390, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,390P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100 (see above)
- linear OOA(815, 100, F81, 4, 4) (dual of [(100, 4), 395, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8137, 1640, F81, 4, 19) (dual of [(1640, 4), 6523, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8137, 6560, F81, 19) (dual of [6560, 6523, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using
- OOA 4-folding [i] based on linear OA(8137, 6560, F81, 19) (dual of [6560, 6523, 20]-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.