Information on Result #1719778
Digital (203, 230, 342638)-net over F4, using net defined by OOA based on linear OOA(4230, 342638, F4, 33, 27) (dual of [(342638, 33), 11306824, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4230, 1713191, F4, 3, 27) (dual of [(1713191, 3), 5139343, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4230, 1713194, F4, 3, 27) (dual of [(1713194, 3), 5139352, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4230, 1713194, F4, 2, 27) (dual of [(1713194, 2), 3426158, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4230, 2097178, F4, 2, 27) (dual of [(2097178, 2), 4194126, 28]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4229, 2097178, F4, 2, 27) (dual of [(2097178, 2), 4194127, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4229, 4194356, F4, 27) (dual of [4194356, 4194127, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(4221, 4194304, F4, 27) (dual of [4194304, 4194083, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(48, 52, F4, 4) (dual of [52, 44, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(4229, 4194356, F4, 27) (dual of [4194356, 4194127, 28]-code), using
- 41 times duplication [i] based on linear OOA(4229, 2097178, F4, 2, 27) (dual of [(2097178, 2), 4194127, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4230, 2097178, F4, 2, 27) (dual of [(2097178, 2), 4194126, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4230, 1713194, F4, 2, 27) (dual of [(1713194, 2), 3426158, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4230, 1713194, F4, 3, 27) (dual of [(1713194, 3), 5139352, 28]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.