Information on Result #1728796
Digital (126, 150, 422740)-net over F8, using net defined by OOA based on linear OOA(8150, 422740, F8, 27, 24) (dual of [(422740, 27), 11413830, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8150, 1690961, F8, 3, 24) (dual of [(1690961, 3), 5072733, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8150, 1690962, F8, 3, 24) (dual of [(1690962, 3), 5072736, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8150, 1690962, F8, 24) (dual of [1690962, 1690812, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8150, 2097169, F8, 24) (dual of [2097169, 2097019, 25]-code), using
- construction XX applied to Ce(24) ⊂ Ce(21) ⊂ Ce(20) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(81, 16, F8, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(24) ⊂ Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(8150, 2097169, F8, 24) (dual of [2097169, 2097019, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8150, 1690962, F8, 24) (dual of [1690962, 1690812, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8150, 1690962, F8, 3, 24) (dual of [(1690962, 3), 5072736, 25]-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.